Finding the Third Proportional to 11,400 and 18,156

Step by Step Solution

1. Step 1: Write the proportion equation
   11,400 : 18,156 = 18,156 : x
2. Step 2: Convert to fraction form
   11,400/18,156 = 18,156/x
3. Step 3: Cross multiply
   11,400x = 18,156 × 18,156
4. Step 4: Simplify right side
   11,400x = 329,640,336
5. Step 5: Solve for x
   x = 329,640,336/11,400
6. Step 6: Final answer
   x = 28,915.82