Finding the Third Proportional to 16,178 and 25,942

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 25,942 = 25,942 : x
2. Step 2: Convert to fraction form
   16,178/25,942 = 25,942/x
3. Step 3: Cross multiply
   16,178x = 25,942 × 25,942
4. Step 4: Simplify right side
   16,178x = 672,987,364
5. Step 5: Solve for x
   x = 672,987,364/16,178
6. Step 6: Final answer
   x = 41,598.92