Finding the Third Proportional to 14,649.50 and 31,580.38

Step by Step Solution

1. Step 1: Write the proportion equation
   14,649.50 : 31,580.38 = 31,580.38 : x
2. Step 2: Convert to fraction form
   14,649.50/31,580.38 = 31,580.38/x
3. Step 3: Cross multiply
   14,649.50x = 31,580.38 × 31,580.38
4. Step 4: Simplify right side
   14,649.50x = 997,320,085.14
5. Step 5: Solve for x
   x = 997,320,085.14/14,649.50
6. Step 6: Final answer
   x = 68,078.78