Finding the Third Proportional to 9,993.50 and 14,666.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,993.50 : 14,666.25 = 14,666.25 : x
2. Step 2: Convert to fraction form
   9,993.50/14,666.25 = 14,666.25/x
3. Step 3: Cross multiply
   9,993.50x = 14,666.25 × 14,666.25
4. Step 4: Simplify right side
   9,993.50x = 215,098,889.06
5. Step 5: Solve for x
   x = 215,098,889.06/9,993.50
6. Step 6: Final answer
   x = 21,523.88