Finding the Third Proportional to 31,434 and 42,714

Step by Step Solution

1. Step 1: Write the proportion equation
   31,434 : 42,714 = 42,714 : x
2. Step 2: Convert to fraction form
   31,434/42,714 = 42,714/x
3. Step 3: Cross multiply
   31,434x = 42,714 × 42,714
4. Step 4: Simplify right side
   31,434x = 1,824,485,796
5. Step 5: Solve for x
   x = 1,824,485,796/31,434
6. Step 6: Final answer
   x = 58,041.80