Finding the Third Proportional to 31,705.50 and 48,750.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,705.50 : 48,750.75 = 48,750.75 : x
2. Step 2: Convert to fraction form
   31,705.50/48,750.75 = 48,750.75/x
3. Step 3: Cross multiply
   31,705.50x = 48,750.75 × 48,750.75
4. Step 4: Simplify right side
   31,705.50x = 2,376,635,625.56
5. Step 5: Solve for x
   x = 2,376,635,625.56/31,705.50
6. Step 6: Final answer
   x = 74,959.73