Finding the Third Proportional to 31,589 and 68,238

Step by Step Solution

1. Step 1: Write the proportion equation
   31,589 : 68,238 = 68,238 : x
2. Step 2: Convert to fraction form
   31,589/68,238 = 68,238/x
3. Step 3: Cross multiply
   31,589x = 68,238 × 68,238
4. Step 4: Simplify right side
   31,589x = 4,656,424,644
5. Step 5: Solve for x
   x = 4,656,424,644/31,589
6. Step 6: Final answer
   x = 147,406.52