Finding the Third Proportional to 15,882 and 22,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,882 : 22,216.50 = 22,216.50 : x
2. Step 2: Convert to fraction form
   15,882/22,216.50 = 22,216.50/x
3. Step 3: Cross multiply
   15,882x = 22,216.50 × 22,216.50
4. Step 4: Simplify right side
   15,882x = 493,572,872.25
5. Step 5: Solve for x
   x = 493,572,872.25/15,882
6. Step 6: Final answer
   x = 31,077.50