Finding the Third Proportional to 14,096 and 32,528

Step by Step Solution

1. Step 1: Write the proportion equation
   14,096 : 32,528 = 32,528 : x
2. Step 2: Convert to fraction form
   14,096/32,528 = 32,528/x
3. Step 3: Cross multiply
   14,096x = 32,528 × 32,528
4. Step 4: Simplify right side
   14,096x = 1,058,070,784
5. Step 5: Solve for x
   x = 1,058,070,784/14,096
6. Step 6: Final answer
   x = 75,061.78