Finding the Third Proportional to 31,600 and 67,978

Step by Step Solution

1. Step 1: Write the proportion equation
   31,600 : 67,978 = 67,978 : x
2. Step 2: Convert to fraction form
   31,600/67,978 = 67,978/x
3. Step 3: Cross multiply
   31,600x = 67,978 × 67,978
4. Step 4: Simplify right side
   31,600x = 4,621,008,484
5. Step 5: Solve for x
   x = 4,621,008,484/31,600
6. Step 6: Final answer
   x = 146,234.45