Finding the Third Proportional to 9,744.88 and 14,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.88 : 14,705.50 = 14,705.50 : x
2. Step 2: Convert to fraction form
   9,744.88/14,705.50 = 14,705.50/x
3. Step 3: Cross multiply
   9,744.88x = 14,705.50 × 14,705.50
4. Step 4: Simplify right side
   9,744.88x = 216,251,730.25
5. Step 5: Solve for x
   x = 216,251,730.25/9,744.88
6. Step 6: Final answer
   x = 22,191.33