Finding the Third Proportional to 11,684.50 and 15,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684.50 : 15,744.50 = 15,744.50 : x
2. Step 2: Convert to fraction form
   11,684.50/15,744.50 = 15,744.50/x
3. Step 3: Cross multiply
   11,684.50x = 15,744.50 × 15,744.50
4. Step 4: Simplify right side
   11,684.50x = 247,889,280.25
5. Step 5: Solve for x
   x = 247,889,280.25/11,684.50
6. Step 6: Final answer
   x = 21,215.22