Finding the Third Proportional to 31,942 and 70,406

Step by Step Solution

1. Step 1: Write the proportion equation
   31,942 : 70,406 = 70,406 : x
2. Step 2: Convert to fraction form
   31,942/70,406 = 70,406/x
3. Step 3: Cross multiply
   31,942x = 70,406 × 70,406
4. Step 4: Simplify right side
   31,942x = 4,957,004,836
5. Step 5: Solve for x
   x = 4,957,004,836/31,942
6. Step 6: Final answer
   x = 155,187.68