Finding the Third Proportional to 31,872 and 47,754

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 47,754 = 47,754 : x
2. Step 2: Convert to fraction form
   31,872/47,754 = 47,754/x
3. Step 3: Cross multiply
   31,872x = 47,754 × 47,754
4. Step 4: Simplify right side
   31,872x = 2,280,444,516
5. Step 5: Solve for x
   x = 2,280,444,516/31,872
6. Step 6: Final answer
   x = 71,550.09