Finding the Third Proportional to 6,102 and 12,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,102 : 12,919.50 = 12,919.50 : x
2. Step 2: Convert to fraction form
   6,102/12,919.50 = 12,919.50/x
3. Step 3: Cross multiply
   6,102x = 12,919.50 × 12,919.50
4. Step 4: Simplify right side
   6,102x = 166,913,480.25
5. Step 5: Solve for x
   x = 166,913,480.25/6,102
6. Step 6: Final answer
   x = 27,353.90