Finding the Third Proportional to 5,328 and 12,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,328 : 12,586.50 = 12,586.50 : x
2. Step 2: Convert to fraction form
   5,328/12,586.50 = 12,586.50/x
3. Step 3: Cross multiply
   5,328x = 12,586.50 × 12,586.50
4. Step 4: Simplify right side
   5,328x = 158,419,982.25
5. Step 5: Solve for x
   x = 158,419,982.25/5,328
6. Step 6: Final answer
   x = 29,733.48