Finding the Third Proportional to 10,374 and 23,919

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374 : 23,919 = 23,919 : x
2. Step 2: Convert to fraction form
   10,374/23,919 = 23,919/x
3. Step 3: Cross multiply
   10,374x = 23,919 × 23,919
4. Step 4: Simplify right side
   10,374x = 572,118,561
5. Step 5: Solve for x
   x = 572,118,561/10,374
6. Step 6: Final answer
   x = 55,149.27