Finding the Third Proportional to 23,838 and 31,346

Step by Step Solution

1. Step 1: Write the proportion equation
   23,838 : 31,346 = 31,346 : x
2. Step 2: Convert to fraction form
   23,838/31,346 = 31,346/x
3. Step 3: Cross multiply
   23,838x = 31,346 × 31,346
4. Step 4: Simplify right side
   23,838x = 982,571,716
5. Step 5: Solve for x
   x = 982,571,716/23,838
6. Step 6: Final answer
   x = 41,218.71