Finding the Third Proportional to 31,128 and 46,714

Step by Step Solution

1. Step 1: Write the proportion equation
   31,128 : 46,714 = 46,714 : x
2. Step 2: Convert to fraction form
   31,128/46,714 = 46,714/x
3. Step 3: Cross multiply
   31,128x = 46,714 × 46,714
4. Step 4: Simplify right side
   31,128x = 2,182,197,796
5. Step 5: Solve for x
   x = 2,182,197,796/31,128
6. Step 6: Final answer
   x = 70,104.02