Finding the Third Proportional to 31,215 and 67,983

Step by Step Solution

1. Step 1: Write the proportion equation
   31,215 : 67,983 = 67,983 : x
2. Step 2: Convert to fraction form
   31,215/67,983 = 67,983/x
3. Step 3: Cross multiply
   31,215x = 67,983 × 67,983
4. Step 4: Simplify right side
   31,215x = 4,621,688,289
5. Step 5: Solve for x
   x = 4,621,688,289/31,215
6. Step 6: Final answer
   x = 148,059.85