Finding the Third Proportional to 31,204 and 42,344

Step by Step Solution

1. Step 1: Write the proportion equation
   31,204 : 42,344 = 42,344 : x
2. Step 2: Convert to fraction form
   31,204/42,344 = 42,344/x
3. Step 3: Cross multiply
   31,204x = 42,344 × 42,344
4. Step 4: Simplify right side
   31,204x = 1,793,014,336
5. Step 5: Solve for x
   x = 1,793,014,336/31,204
6. Step 6: Final answer
   x = 57,461.04