Finding the Third Proportional to 5,382 and 8,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382 : 8,524.50 = 8,524.50 : x
2. Step 2: Convert to fraction form
   5,382/8,524.50 = 8,524.50/x
3. Step 3: Cross multiply
   5,382x = 8,524.50 × 8,524.50
4. Step 4: Simplify right side
   5,382x = 72,667,100.25
5. Step 5: Solve for x
   x = 72,667,100.25/5,382
6. Step 6: Final answer
   x = 13,501.88