Finding the Third Proportional to 31,707.75 and 47,462.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,707.75 : 47,462.63 = 47,462.63 : x
2. Step 2: Convert to fraction form
   31,707.75/47,462.63 = 47,462.63/x
3. Step 3: Cross multiply
   31,707.75x = 47,462.63 × 47,462.63
4. Step 4: Simplify right side
   31,707.75x = 2,252,700,771.89
5. Step 5: Solve for x
   x = 2,252,700,771.89/31,707.75
6. Step 6: Final answer
   x = 71,045.75