Finding the Third Proportional to 31,874 and 47,595

Step by Step Solution

1. Step 1: Write the proportion equation
   31,874 : 47,595 = 47,595 : x
2. Step 2: Convert to fraction form
   31,874/47,595 = 47,595/x
3. Step 3: Cross multiply
   31,874x = 47,595 × 47,595
4. Step 4: Simplify right side
   31,874x = 2,265,284,025
5. Step 5: Solve for x
   x = 2,265,284,025/31,874
6. Step 6: Final answer
   x = 71,069.96