Finding the Third Proportional to 16,164 and 25,014

Step by Step Solution

1. Step 1: Write the proportion equation
   16,164 : 25,014 = 25,014 : x
2. Step 2: Convert to fraction form
   16,164/25,014 = 25,014/x
3. Step 3: Cross multiply
   16,164x = 25,014 × 25,014
4. Step 4: Simplify right side
   16,164x = 625,700,196
5. Step 5: Solve for x
   x = 625,700,196/16,164
6. Step 6: Final answer
   x = 38,709.49