Finding the Third Proportional to 22,484 and 32,384

Step by Step Solution

1. Step 1: Write the proportion equation
   22,484 : 32,384 = 32,384 : x
2. Step 2: Convert to fraction form
   22,484/32,384 = 32,384/x
3. Step 3: Cross multiply
   22,484x = 32,384 × 32,384
4. Step 4: Simplify right side
   22,484x = 1,048,723,456
5. Step 5: Solve for x
   x = 1,048,723,456/22,484
6. Step 6: Final answer
   x = 46,643.10