Finding the Third Proportional to 23,684 and 31,597

Step by Step Solution

1. Step 1: Write the proportion equation
   23,684 : 31,597 = 31,597 : x
2. Step 2: Convert to fraction form
   23,684/31,597 = 31,597/x
3. Step 3: Cross multiply
   23,684x = 31,597 × 31,597
4. Step 4: Simplify right side
   23,684x = 998,370,409
5. Step 5: Solve for x
   x = 998,370,409/23,684
6. Step 6: Final answer
   x = 42,153.79