Finding the Third Proportional to 31,211.50 and 45,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,211.50 : 45,648.50 = 45,648.50 : x
2. Step 2: Convert to fraction form
   31,211.50/45,648.50 = 45,648.50/x
3. Step 3: Cross multiply
   31,211.50x = 45,648.50 × 45,648.50
4. Step 4: Simplify right side
   31,211.50x = 2,083,785,552.25
5. Step 5: Solve for x
   x = 2,083,785,552.25/31,211.50
6. Step 6: Final answer
   x = 66,763.39