Finding the Third Proportional to 10,138 and 14,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 14,084 = 14,084 : x
2. Step 2: Convert to fraction form
   10,138/14,084 = 14,084/x
3. Step 3: Cross multiply
   10,138x = 14,084 × 14,084
4. Step 4: Simplify right side
   10,138x = 198,359,056
5. Step 5: Solve for x
   x = 198,359,056/10,138
6. Step 6: Final answer
   x = 19,565.90