Finding the Third Proportional to 23,214 and 31,348

Step by Step Solution

1. Step 1: Write the proportion equation
   23,214 : 31,348 = 31,348 : x
2. Step 2: Convert to fraction form
   23,214/31,348 = 31,348/x
3. Step 3: Cross multiply
   23,214x = 31,348 × 31,348
4. Step 4: Simplify right side
   23,214x = 982,697,104
5. Step 5: Solve for x
   x = 982,697,104/23,214
6. Step 6: Final answer
   x = 42,332.09