Finding the Third Proportional to 6,123,106,742,967 and 13,119,591,047,823

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123,106,742,967 : 13,119,591,047,823 = 13,119,591,047,823 : x
2. Step 2: Convert to fraction form
   6,123,106,742,967/13,119,591,047,823 = 13,119,591,047,823/x
3. Step 3: Cross multiply
   6,123,106,742,967x = 13,119,591,047,823 × 13,119,591,047,823
4. Step 4: Simplify right side
   6,123,106,742,967x = 172,123,669,262,117,393,429,168,128
5. Step 5: Solve for x
   x = 172,123,669,262,117,393,429,168,128/6,123,106,742,967
6. Step 6: Final answer
   x = 28,110,512,602,090.21