Finding the Third Proportional to 14,576 and 32,280

Step by Step Solution

1. Step 1: Write the proportion equation
   14,576 : 32,280 = 32,280 : x
2. Step 2: Convert to fraction form
   14,576/32,280 = 32,280/x
3. Step 3: Cross multiply
   14,576x = 32,280 × 32,280
4. Step 4: Simplify right side
   14,576x = 1,041,998,400
5. Step 5: Solve for x
   x = 1,041,998,400/14,576
6. Step 6: Final answer
   x = 71,487.27