Finding the Third Proportional to 14,242.50 and 31,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,242.50 : 31,165.50 = 31,165.50 : x
2. Step 2: Convert to fraction form
   14,242.50/31,165.50 = 31,165.50/x
3. Step 3: Cross multiply
   14,242.50x = 31,165.50 × 31,165.50
4. Step 4: Simplify right side
   14,242.50x = 971,288,390.25
5. Step 5: Solve for x
   x = 971,288,390.25/14,242.50
6. Step 6: Final answer
   x = 68,196.48