Finding the Third Proportional to 22,576 and 32,496

Step by Step Solution

1. Step 1: Write the proportion equation
   22,576 : 32,496 = 32,496 : x
2. Step 2: Convert to fraction form
   22,576/32,496 = 32,496/x
3. Step 3: Cross multiply
   22,576x = 32,496 × 32,496
4. Step 4: Simplify right side
   22,576x = 1,055,990,016
5. Step 5: Solve for x
   x = 1,055,990,016/22,576
6. Step 6: Final answer
   x = 46,774.89