Finding the Third Proportional to 5,315.63 and 8,319.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,315.63 : 8,319.38 = 8,319.38 : x
2. Step 2: Convert to fraction form
   5,315.63/8,319.38 = 8,319.38/x
3. Step 3: Cross multiply
   5,315.63x = 8,319.38 × 8,319.38
4. Step 4: Simplify right side
   5,315.63x = 69,212,000.39
5. Step 5: Solve for x
   x = 69,212,000.39/5,315.63
6. Step 6: Final answer
   x = 13,020.48