Finding the Third Proportional to 10,165.50 and 14,342.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 14,342.06 = 14,342.06 : x
2. Step 2: Convert to fraction form
   10,165.50/14,342.06 = 14,342.06/x
3. Step 3: Cross multiply
   10,165.50x = 14,342.06 × 14,342.06
4. Step 4: Simplify right side
   10,165.50x = 205,694,756.75
5. Step 5: Solve for x
   x = 205,694,756.75/10,165.50
6. Step 6: Final answer
   x = 20,234.59