Finding the Third Proportional to 9,146.50 and 13,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.50 : 13,680.75 = 13,680.75 : x
2. Step 2: Convert to fraction form
   9,146.50/13,680.75 = 13,680.75/x
3. Step 3: Cross multiply
   9,146.50x = 13,680.75 × 13,680.75
4. Step 4: Simplify right side
   9,146.50x = 187,162,920.56
5. Step 5: Solve for x
   x = 187,162,920.56/9,146.50
6. Step 6: Final answer
   x = 20,462.79