Finding the Third Proportional to 31,848 and 68,496

Step by Step Solution

1. Step 1: Write the proportion equation
   31,848 : 68,496 = 68,496 : x
2. Step 2: Convert to fraction form
   31,848/68,496 = 68,496/x
3. Step 3: Cross multiply
   31,848x = 68,496 × 68,496
4. Step 4: Simplify right side
   31,848x = 4,691,702,016
5. Step 5: Solve for x
   x = 4,691,702,016/31,848
6. Step 6: Final answer
   x = 147,315.44