Finding the Third Proportional to 14,625 and 32,025

Step by Step Solution

1. Step 1: Write the proportion equation
   14,625 : 32,025 = 32,025 : x
2. Step 2: Convert to fraction form
   14,625/32,025 = 32,025/x
3. Step 3: Cross multiply
   14,625x = 32,025 × 32,025
4. Step 4: Simplify right side
   14,625x = 1,025,600,625
5. Step 5: Solve for x
   x = 1,025,600,625/14,625
6. Step 6: Final answer
   x = 70,126.54