Finding the Third Proportional to 11,683.50 and 15,743.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,683.50 : 15,743.25 = 15,743.25 : x
2. Step 2: Convert to fraction form
   11,683.50/15,743.25 = 15,743.25/x
3. Step 3: Cross multiply
   11,683.50x = 15,743.25 × 15,743.25
4. Step 4: Simplify right side
   11,683.50x = 247,849,920.56
5. Step 5: Solve for x
   x = 247,849,920.56/11,683.50
6. Step 6: Final answer
   x = 21,213.67