Finding the Third Proportional to 47,782.50 and 71,691.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,782.50 : 71,691.75 = 71,691.75 : x
2. Step 2: Convert to fraction form
   47,782.50/71,691.75 = 71,691.75/x
3. Step 3: Cross multiply
   47,782.50x = 71,691.75 × 71,691.75
4. Step 4: Simplify right side
   47,782.50x = 5,139,707,018.06
5. Step 5: Solve for x
   x = 5,139,707,018.06/47,782.50
6. Step 6: Final answer
   x = 107,564.63