Finding the Third Proportional to 10,178 and 16,087

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178 : 16,087 = 16,087 : x
2. Step 2: Convert to fraction form
   10,178/16,087 = 16,087/x
3. Step 3: Cross multiply
   10,178x = 16,087 × 16,087
4. Step 4: Simplify right side
   10,178x = 258,791,569
5. Step 5: Solve for x
   x = 258,791,569/10,178
6. Step 6: Final answer
   x = 25,426.56