Finding the Third Proportional to 35,892 and 76,545

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892 : 76,545 = 76,545 : x
2. Step 2: Convert to fraction form
   35,892/76,545 = 76,545/x
3. Step 3: Cross multiply
   35,892x = 76,545 × 76,545
4. Step 4: Simplify right side
   35,892x = 5,859,137,025
5. Step 5: Solve for x
   x = 5,859,137,025/35,892
6. Step 6: Final answer
   x = 163,243.54