Finding the Third Proportional to 32,025 and 51,454

Step by Step Solution

1. Step 1: Write the proportion equation
   32,025 : 51,454 = 51,454 : x
2. Step 2: Convert to fraction form
   32,025/51,454 = 51,454/x
3. Step 3: Cross multiply
   32,025x = 51,454 × 51,454
4. Step 4: Simplify right side
   32,025x = 2,647,514,116
5. Step 5: Solve for x
   x = 2,647,514,116/32,025
6. Step 6: Final answer
   x = 82,670.23