Finding the Third Proportional to 15,384 and 32,564

Step by Step Solution

1. Step 1: Write the proportion equation
   15,384 : 32,564 = 32,564 : x
2. Step 2: Convert to fraction form
   15,384/32,564 = 32,564/x
3. Step 3: Cross multiply
   15,384x = 32,564 × 32,564
4. Step 4: Simplify right side
   15,384x = 1,060,414,096
5. Step 5: Solve for x
   x = 1,060,414,096/15,384
6. Step 6: Final answer
   x = 68,929.67