Finding the Third Proportional to 6,123,106,742,900 and 13,119,591,047,696

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123,106,742,900 : 13,119,591,047,696 = 13,119,591,047,696 : x
2. Step 2: Convert to fraction form
   6,123,106,742,900/13,119,591,047,696 = 13,119,591,047,696/x
3. Step 3: Cross multiply
   6,123,106,742,900x = 13,119,591,047,696 × 13,119,591,047,696
4. Step 4: Simplify right side
   6,123,106,742,900x = 172,123,669,258,785,014,203,547,648
5. Step 5: Solve for x
   x = 172,123,669,258,785,014,203,547,648/6,123,106,742,900
6. Step 6: Final answer
   x = 28,110,512,601,853.57