Finding the Third Proportional to 31,965.89 and 50,147.23

Step by Step Solution

1. Step 1: Write the proportion equation
   31,965.89 : 50,147.23 = 50,147.23 : x
2. Step 2: Convert to fraction form
   31,965.89/50,147.23 = 50,147.23/x
3. Step 3: Cross multiply
   31,965.89x = 50,147.23 × 50,147.23
4. Step 4: Simplify right side
   31,965.89x = 2,514,744,331.91
5. Step 5: Solve for x
   x = 2,514,744,331.91/31,965.89
6. Step 6: Final answer
   x = 78,669.62