Finding the Third Proportional to 14,404.50 and 31,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,404.50 : 31,178.25 = 31,178.25 : x
2. Step 2: Convert to fraction form
   14,404.50/31,178.25 = 31,178.25/x
3. Step 3: Cross multiply
   14,404.50x = 31,178.25 × 31,178.25
4. Step 4: Simplify right side
   14,404.50x = 972,083,273.06
5. Step 5: Solve for x
   x = 972,083,273.06/14,404.50
6. Step 6: Final answer
   x = 67,484.69