Finding the Third Proportional to 31,761 and 50,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,761 : 50,242.50 = 50,242.50 : x
2. Step 2: Convert to fraction form
   31,761/50,242.50 = 50,242.50/x
3. Step 3: Cross multiply
   31,761x = 50,242.50 × 50,242.50
4. Step 4: Simplify right side
   31,761x = 2,524,308,806.25
5. Step 5: Solve for x
   x = 2,524,308,806.25/31,761
6. Step 6: Final answer
   x = 79,478.25