Finding the Third Proportional to 10,374 and 22,386

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374 : 22,386 = 22,386 : x
2. Step 2: Convert to fraction form
   10,374/22,386 = 22,386/x
3. Step 3: Cross multiply
   10,374x = 22,386 × 22,386
4. Step 4: Simplify right side
   10,374x = 501,132,996
5. Step 5: Solve for x
   x = 501,132,996/10,374
6. Step 6: Final answer
   x = 48,306.63