Finding the Third Proportional to 10,088 and 15,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,088 : 15,684.50 = 15,684.50 : x
2. Step 2: Convert to fraction form
   10,088/15,684.50 = 15,684.50/x
3. Step 3: Cross multiply
   10,088x = 15,684.50 × 15,684.50
4. Step 4: Simplify right side
   10,088x = 246,003,540.25
5. Step 5: Solve for x
   x = 246,003,540.25/10,088
6. Step 6: Final answer
   x = 24,385.76