Finding the Third Proportional to 12,723.75 and 14,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,723.75 : 14,161.50 = 14,161.50 : x
2. Step 2: Convert to fraction form
   12,723.75/14,161.50 = 14,161.50/x
3. Step 3: Cross multiply
   12,723.75x = 14,161.50 × 14,161.50
4. Step 4: Simplify right side
   12,723.75x = 200,548,082.25
5. Step 5: Solve for x
   x = 200,548,082.25/12,723.75
6. Step 6: Final answer
   x = 15,761.71