Finding the Third Proportional to 10,138 and 14,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 14,856 = 14,856 : x
2. Step 2: Convert to fraction form
   10,138/14,856 = 14,856/x
3. Step 3: Cross multiply
   10,138x = 14,856 × 14,856
4. Step 4: Simplify right side
   10,138x = 220,700,736
5. Step 5: Solve for x
   x = 220,700,736/10,138
6. Step 6: Final answer
   x = 21,769.65