Finding the Third Proportional to 16,199 and 25,142

Step by Step Solution

1. Step 1: Write the proportion equation
   16,199 : 25,142 = 25,142 : x
2. Step 2: Convert to fraction form
   16,199/25,142 = 25,142/x
3. Step 3: Cross multiply
   16,199x = 25,142 × 25,142
4. Step 4: Simplify right side
   16,199x = 632,120,164
5. Step 5: Solve for x
   x = 632,120,164/16,199
6. Step 6: Final answer
   x = 39,022.17