Finding the Third Proportional to 21,624 and 32,592

Step by Step Solution

1. Step 1: Write the proportion equation
   21,624 : 32,592 = 32,592 : x
2. Step 2: Convert to fraction form
   21,624/32,592 = 32,592/x
3. Step 3: Cross multiply
   21,624x = 32,592 × 32,592
4. Step 4: Simplify right side
   21,624x = 1,062,238,464
5. Step 5: Solve for x
   x = 1,062,238,464/21,624
6. Step 6: Final answer
   x = 49,123.13