Finding the Third Proportional to 31,852 and 67,256

Step by Step Solution

1. Step 1: Write the proportion equation
   31,852 : 67,256 = 67,256 : x
2. Step 2: Convert to fraction form
   31,852/67,256 = 67,256/x
3. Step 3: Cross multiply
   31,852x = 67,256 × 67,256
4. Step 4: Simplify right side
   31,852x = 4,523,369,536
5. Step 5: Solve for x
   x = 4,523,369,536/31,852
6. Step 6: Final answer
   x = 142,012.10