Finding the Third Proportional to 31,976 and 67,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,976 : 67,848.50 = 67,848.50 : x
2. Step 2: Convert to fraction form
   31,976/67,848.50 = 67,848.50/x
3. Step 3: Cross multiply
   31,976x = 67,848.50 × 67,848.50
4. Step 4: Simplify right side
   31,976x = 4,603,418,952.25
5. Step 5: Solve for x
   x = 4,603,418,952.25/31,976
6. Step 6: Final answer
   x = 143,964.82