Finding the Third Proportional to 13,802 and 18,150

Step by Step Solution

1. Step 1: Write the proportion equation
   13,802 : 18,150 = 18,150 : x
2. Step 2: Convert to fraction form
   13,802/18,150 = 18,150/x
3. Step 3: Cross multiply
   13,802x = 18,150 × 18,150
4. Step 4: Simplify right side
   13,802x = 329,422,500
5. Step 5: Solve for x
   x = 329,422,500/13,802
6. Step 6: Final answer
   x = 23,867.74