Finding the Third Proportional to 31,324 and 67,868

Step by Step Solution

1. Step 1: Write the proportion equation
   31,324 : 67,868 = 67,868 : x
2. Step 2: Convert to fraction form
   31,324/67,868 = 67,868/x
3. Step 3: Cross multiply
   31,324x = 67,868 × 67,868
4. Step 4: Simplify right side
   31,324x = 4,606,065,424
5. Step 5: Solve for x
   x = 4,606,065,424/31,324
6. Step 6: Final answer
   x = 147,045.89