Finding the Third Proportional to 9,985.50 and 14,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,985.50 : 14,384.25 = 14,384.25 : x
2. Step 2: Convert to fraction form
   9,985.50/14,384.25 = 14,384.25/x
3. Step 3: Cross multiply
   9,985.50x = 14,384.25 × 14,384.25
4. Step 4: Simplify right side
   9,985.50x = 206,906,648.06
5. Step 5: Solve for x
   x = 206,906,648.06/9,985.50
6. Step 6: Final answer
   x = 20,720.71