Finding the Third Proportional to 14,128 and 32,592

Step by Step Solution

1. Step 1: Write the proportion equation
   14,128 : 32,592 = 32,592 : x
2. Step 2: Convert to fraction form
   14,128/32,592 = 32,592/x
3. Step 3: Cross multiply
   14,128x = 32,592 × 32,592
4. Step 4: Simplify right side
   14,128x = 1,062,238,464
5. Step 5: Solve for x
   x = 1,062,238,464/14,128
6. Step 6: Final answer
   x = 75,186.75