Finding the Third Proportional to 9,724.50 and 14,675.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.50 : 14,675.63 = 14,675.63 : x
2. Step 2: Convert to fraction form
   9,724.50/14,675.63 = 14,675.63/x
3. Step 3: Cross multiply
   9,724.50x = 14,675.63 × 14,675.63
4. Step 4: Simplify right side
   9,724.50x = 215,373,969.14
5. Step 5: Solve for x
   x = 215,373,969.14/9,724.50
6. Step 6: Final answer
   x = 22,147.56