Finding the Third Proportional to 10,048 and 14,158

Step by Step Solution

1. Step 1: Write the proportion equation
   10,048 : 14,158 = 14,158 : x
2. Step 2: Convert to fraction form
   10,048/14,158 = 14,158/x
3. Step 3: Cross multiply
   10,048x = 14,158 × 14,158
4. Step 4: Simplify right side
   10,048x = 200,448,964
5. Step 5: Solve for x
   x = 200,448,964/10,048
6. Step 6: Final answer
   x = 19,949.14