Finding the Third Proportional to 31,538 and 67,972

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538 : 67,972 = 67,972 : x
2. Step 2: Convert to fraction form
   31,538/67,972 = 67,972/x
3. Step 3: Cross multiply
   31,538x = 67,972 × 67,972
4. Step 4: Simplify right side
   31,538x = 4,620,192,784
5. Step 5: Solve for x
   x = 4,620,192,784/31,538
6. Step 6: Final answer
   x = 146,496.06