Finding the Third Proportional to 35,436 and 52,468

Step by Step Solution

1. Step 1: Write the proportion equation
   35,436 : 52,468 = 52,468 : x
2. Step 2: Convert to fraction form
   35,436/52,468 = 52,468/x
3. Step 3: Cross multiply
   35,436x = 52,468 × 52,468
4. Step 4: Simplify right side
   35,436x = 2,752,891,024
5. Step 5: Solve for x
   x = 2,752,891,024/35,436
6. Step 6: Final answer
   x = 77,686.28