Finding the Third Proportional to 5,338.50 and 8,528.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338.50 : 8,528.25 = 8,528.25 : x
2. Step 2: Convert to fraction form
   5,338.50/8,528.25 = 8,528.25/x
3. Step 3: Cross multiply
   5,338.50x = 8,528.25 × 8,528.25
4. Step 4: Simplify right side
   5,338.50x = 72,731,048.06
5. Step 5: Solve for x
   x = 72,731,048.06/5,338.50
6. Step 6: Final answer
   x = 13,623.87