Finding the Third Proportional to 10,233 and 24,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233 : 24,188 = 24,188 : x
2. Step 2: Convert to fraction form
   10,233/24,188 = 24,188/x
3. Step 3: Cross multiply
   10,233x = 24,188 × 24,188
4. Step 4: Simplify right side
   10,233x = 585,059,344
5. Step 5: Solve for x
   x = 585,059,344/10,233
6. Step 6: Final answer
   x = 57,173.79