Finding the Third Proportional to 10,178 and 13,998

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178 : 13,998 = 13,998 : x
2. Step 2: Convert to fraction form
   10,178/13,998 = 13,998/x
3. Step 3: Cross multiply
   10,178x = 13,998 × 13,998
4. Step 4: Simplify right side
   10,178x = 195,944,004
5. Step 5: Solve for x
   x = 195,944,004/10,178
6. Step 6: Final answer
   x = 19,251.72