Finding the Third Proportional to 35,829 and 77,499

Step by Step Solution

1. Step 1: Write the proportion equation
   35,829 : 77,499 = 77,499 : x
2. Step 2: Convert to fraction form
   35,829/77,499 = 77,499/x
3. Step 3: Cross multiply
   35,829x = 77,499 × 77,499
4. Step 4: Simplify right side
   35,829x = 6,006,095,001
5. Step 5: Solve for x
   x = 6,006,095,001/35,829
6. Step 6: Final answer
   x = 167,632.23