Finding the Third Proportional to 47,782.50 and 71,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,782.50 : 71,791.50 = 71,791.50 : x
2. Step 2: Convert to fraction form
   47,782.50/71,791.50 = 71,791.50/x
3. Step 3: Cross multiply
   47,782.50x = 71,791.50 × 71,791.50
4. Step 4: Simplify right side
   47,782.50x = 5,154,019,472.25
5. Step 5: Solve for x
   x = 5,154,019,472.25/47,782.50
6. Step 6: Final answer
   x = 107,864.17