Finding the Third Proportional to 5,128 and 12,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,128 : 12,098.50 = 12,098.50 : x
2. Step 2: Convert to fraction form
   5,128/12,098.50 = 12,098.50/x
3. Step 3: Cross multiply
   5,128x = 12,098.50 × 12,098.50
4. Step 4: Simplify right side
   5,128x = 146,373,702.25
5. Step 5: Solve for x
   x = 146,373,702.25/5,128
6. Step 6: Final answer
   x = 28,544.01