Finding the Third Proportional to 31,469 and 61,344

Step by Step Solution

1. Step 1: Write the proportion equation
   31,469 : 61,344 = 61,344 : x
2. Step 2: Convert to fraction form
   31,469/61,344 = 61,344/x
3. Step 3: Cross multiply
   31,469x = 61,344 × 61,344
4. Step 4: Simplify right side
   31,469x = 3,763,086,336
5. Step 5: Solve for x
   x = 3,763,086,336/31,469
6. Step 6: Final answer
   x = 119,580.74