Finding the Third Proportional to 31,936 and 69,398

Step by Step Solution

1. Step 1: Write the proportion equation
   31,936 : 69,398 = 69,398 : x
2. Step 2: Convert to fraction form
   31,936/69,398 = 69,398/x
3. Step 3: Cross multiply
   31,936x = 69,398 × 69,398
4. Step 4: Simplify right side
   31,936x = 4,816,082,404
5. Step 5: Solve for x
   x = 4,816,082,404/31,936
6. Step 6: Final answer
   x = 150,804.18