Finding the Third Proportional to 6,138 and 13,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,138 : 13,288.50 = 13,288.50 : x
2. Step 2: Convert to fraction form
   6,138/13,288.50 = 13,288.50/x
3. Step 3: Cross multiply
   6,138x = 13,288.50 × 13,288.50
4. Step 4: Simplify right side
   6,138x = 176,584,232.25
5. Step 5: Solve for x
   x = 176,584,232.25/6,138
6. Step 6: Final answer
   x = 28,769.02