Finding the Third Proportional to 31,932 and 68,667

Step by Step Solution

1. Step 1: Write the proportion equation
   31,932 : 68,667 = 68,667 : x
2. Step 2: Convert to fraction form
   31,932/68,667 = 68,667/x
3. Step 3: Cross multiply
   31,932x = 68,667 × 68,667
4. Step 4: Simplify right side
   31,932x = 4,715,156,889
5. Step 5: Solve for x
   x = 4,715,156,889/31,932
6. Step 6: Final answer
   x = 147,662.44