Finding the Third Proportional to 23,384 and 31,608

Step by Step Solution

1. Step 1: Write the proportion equation
   23,384 : 31,608 = 31,608 : x
2. Step 2: Convert to fraction form
   23,384/31,608 = 31,608/x
3. Step 3: Cross multiply
   23,384x = 31,608 × 31,608
4. Step 4: Simplify right side
   23,384x = 999,065,664
5. Step 5: Solve for x
   x = 999,065,664/23,384
6. Step 6: Final answer
   x = 42,724.33