Finding the Third Proportional to 31,700 and 68,874

Step by Step Solution

1. Step 1: Write the proportion equation
   31,700 : 68,874 = 68,874 : x
2. Step 2: Convert to fraction form
   31,700/68,874 = 68,874/x
3. Step 3: Cross multiply
   31,700x = 68,874 × 68,874
4. Step 4: Simplify right side
   31,700x = 4,743,627,876
5. Step 5: Solve for x
   x = 4,743,627,876/31,700
6. Step 6: Final answer
   x = 149,641.26