Finding the Third Proportional to 31,531.50 and 48,824.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,531.50 : 48,824.25 = 48,824.25 : x
2. Step 2: Convert to fraction form
   31,531.50/48,824.25 = 48,824.25/x
3. Step 3: Cross multiply
   31,531.50x = 48,824.25 × 48,824.25
4. Step 4: Simplify right side
   31,531.50x = 2,383,807,388.06
5. Step 5: Solve for x
   x = 2,383,807,388.06/31,531.50
6. Step 6: Final answer
   x = 75,600.82