Finding the Third Proportional to 11,188.50 and 15,684

Step by Step Solution

1. Step 1: Write the proportion equation
   11,188.50 : 15,684 = 15,684 : x
2. Step 2: Convert to fraction form
   11,188.50/15,684 = 15,684/x
3. Step 3: Cross multiply
   11,188.50x = 15,684 × 15,684
4. Step 4: Simplify right side
   11,188.50x = 245,987,856
5. Step 5: Solve for x
   x = 245,987,856/11,188.50
6. Step 6: Final answer
   x = 21,985.78