Finding the Third Proportional to 31,714 and 75,002

Step by Step Solution

1. Step 1: Write the proportion equation
   31,714 : 75,002 = 75,002 : x
2. Step 2: Convert to fraction form
   31,714/75,002 = 75,002/x
3. Step 3: Cross multiply
   31,714x = 75,002 × 75,002
4. Step 4: Simplify right side
   31,714x = 5,625,300,004
5. Step 5: Solve for x
   x = 5,625,300,004/31,714
6. Step 6: Final answer
   x = 177,375.92