Finding the Third Proportional to 14,400 and 23,514

Step by Step Solution

1. Step 1: Write the proportion equation
   14,400 : 23,514 = 23,514 : x
2. Step 2: Convert to fraction form
   14,400/23,514 = 23,514/x
3. Step 3: Cross multiply
   14,400x = 23,514 × 23,514
4. Step 4: Simplify right side
   14,400x = 552,908,196
5. Step 5: Solve for x
   x = 552,908,196/14,400
6. Step 6: Final answer
   x = 38,396.40