Finding the Third Proportional to 6,123,106,742,965 and 13,119,591,047,819

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123,106,742,965 : 13,119,591,047,819 = 13,119,591,047,819 : x
2. Step 2: Convert to fraction form
   6,123,106,742,965/13,119,591,047,819 = 13,119,591,047,819/x
3. Step 3: Cross multiply
   6,123,106,742,965x = 13,119,591,047,819 × 13,119,591,047,819
4. Step 4: Simplify right side
   6,123,106,742,965x = 172,123,669,262,012,458,788,192,256
5. Step 5: Solve for x
   x = 172,123,669,262,012,458,788,192,256/6,123,106,742,965
6. Step 6: Final answer
   x = 28,110,512,602,082.25