Finding the Third Proportional to 35,564,090,826 and 77,326,673,289

Step by Step Solution

1. Step 1: Write the proportion equation
   35,564,090,826 : 77,326,673,289 = 77,326,673,289 : x
2. Step 2: Convert to fraction form
   35,564,090,826/77,326,673,289 = 77,326,673,289/x
3. Step 3: Cross multiply
   35,564,090,826x = 77,326,673,289 × 77,326,673,289
4. Step 4: Simplify right side
   35,564,090,826x = 5,979,414,401,943,745,855,488
5. Step 5: Solve for x
   x = 5,979,414,401,943,745,855,488/35,564,090,826
6. Step 6: Final answer
   x = 168,130,669,534.01