Finding the Third Proportional to 15,736 and 21,564

Step by Step Solution

1. Step 1: Write the proportion equation
   15,736 : 21,564 = 21,564 : x
2. Step 2: Convert to fraction form
   15,736/21,564 = 21,564/x
3. Step 3: Cross multiply
   15,736x = 21,564 × 21,564
4. Step 4: Simplify right side
   15,736x = 465,006,096
5. Step 5: Solve for x
   x = 465,006,096/15,736
6. Step 6: Final answer
   x = 29,550.46