Finding the Third Proportional to 31,384 and 68,816

Step by Step Solution

1. Step 1: Write the proportion equation
   31,384 : 68,816 = 68,816 : x
2. Step 2: Convert to fraction form
   31,384/68,816 = 68,816/x
3. Step 3: Cross multiply
   31,384x = 68,816 × 68,816
4. Step 4: Simplify right side
   31,384x = 4,735,641,856
5. Step 5: Solve for x
   x = 4,735,641,856/31,384
6. Step 6: Final answer
   x = 150,893.51