Finding the Third Proportional to 14,048 and 32,522

Step by Step Solution

1. Step 1: Write the proportion equation
   14,048 : 32,522 = 32,522 : x
2. Step 2: Convert to fraction form
   14,048/32,522 = 32,522/x
3. Step 3: Cross multiply
   14,048x = 32,522 × 32,522
4. Step 4: Simplify right side
   14,048x = 1,057,680,484
5. Step 5: Solve for x
   x = 1,057,680,484/14,048
6. Step 6: Final answer
   x = 75,290.47