Finding the Third Proportional to 31,644 and 47,714

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 47,714 = 47,714 : x
2. Step 2: Convert to fraction form
   31,644/47,714 = 47,714/x
3. Step 3: Cross multiply
   31,644x = 47,714 × 47,714
4. Step 4: Simplify right side
   31,644x = 2,276,625,796
5. Step 5: Solve for x
   x = 2,276,625,796/31,644
6. Step 6: Final answer
   x = 71,944.94