Finding the Third Proportional to 35,332 and 76,799

Step by Step Solution

1. Step 1: Write the proportion equation
   35,332 : 76,799 = 76,799 : x
2. Step 2: Convert to fraction form
   35,332/76,799 = 76,799/x
3. Step 3: Cross multiply
   35,332x = 76,799 × 76,799
4. Step 4: Simplify right side
   35,332x = 5,898,086,401
5. Step 5: Solve for x
   x = 5,898,086,401/35,332
6. Step 6: Final answer
   x = 166,933.27