Finding the Third Proportional to 35,514 and 77,025

Step by Step Solution

1. Step 1: Write the proportion equation
   35,514 : 77,025 = 77,025 : x
2. Step 2: Convert to fraction form
   35,514/77,025 = 77,025/x
3. Step 3: Cross multiply
   35,514x = 77,025 × 77,025
4. Step 4: Simplify right side
   35,514x = 5,932,850,625
5. Step 5: Solve for x
   x = 5,932,850,625/35,514
6. Step 6: Final answer
   x = 167,056.67