Finding the Third Proportional to 14,233.50 and 19,770.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,233.50 : 19,770.75 = 19,770.75 : x
2. Step 2: Convert to fraction form
   14,233.50/19,770.75 = 19,770.75/x
3. Step 3: Cross multiply
   14,233.50x = 19,770.75 × 19,770.75
4. Step 4: Simplify right side
   14,233.50x = 390,882,555.56
5. Step 5: Solve for x
   x = 390,882,555.56/14,233.50
6. Step 6: Final answer
   x = 27,462.15