Finding the Third Proportional to 10,138 and 14,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 14,908.50 = 14,908.50 : x
2. Step 2: Convert to fraction form
   10,138/14,908.50 = 14,908.50/x
3. Step 3: Cross multiply
   10,138x = 14,908.50 × 14,908.50
4. Step 4: Simplify right side
   10,138x = 222,263,372.25
5. Step 5: Solve for x
   x = 222,263,372.25/10,138
6. Step 6: Final answer
   x = 21,923.79