Finding the Third Proportional to 31,864 and 69,317

Step by Step Solution

1. Step 1: Write the proportion equation
   31,864 : 69,317 = 69,317 : x
2. Step 2: Convert to fraction form
   31,864/69,317 = 69,317/x
3. Step 3: Cross multiply
   31,864x = 69,317 × 69,317
4. Step 4: Simplify right side
   31,864x = 4,804,846,489
5. Step 5: Solve for x
   x = 4,804,846,489/31,864
6. Step 6: Final answer
   x = 150,792.32