Finding the Third Proportional to 10,024 and 13,420

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 13,420 = 13,420 : x
2. Step 2: Convert to fraction form
   10,024/13,420 = 13,420/x
3. Step 3: Cross multiply
   10,024x = 13,420 × 13,420
4. Step 4: Simplify right side
   10,024x = 180,096,400
5. Step 5: Solve for x
   x = 180,096,400/10,024
6. Step 6: Final answer
   x = 17,966.52