Finding the Third Proportional to 31,852 and 68,504

Step by Step Solution

1. Step 1: Write the proportion equation
   31,852 : 68,504 = 68,504 : x
2. Step 2: Convert to fraction form
   31,852/68,504 = 68,504/x
3. Step 3: Cross multiply
   31,852x = 68,504 × 68,504
4. Step 4: Simplify right side
   31,852x = 4,692,798,016
5. Step 5: Solve for x
   x = 4,692,798,016/31,852
6. Step 6: Final answer
   x = 147,331.35