Finding the Third Proportional to 31,822.50 and 48,570.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,822.50 : 48,570.75 = 48,570.75 : x
2. Step 2: Convert to fraction form
   31,822.50/48,570.75 = 48,570.75/x
3. Step 3: Cross multiply
   31,822.50x = 48,570.75 × 48,570.75
4. Step 4: Simplify right side
   31,822.50x = 2,359,117,755.56
5. Step 5: Solve for x
   x = 2,359,117,755.56/31,822.50
6. Step 6: Final answer
   x = 74,133.64