Finding the Third Proportional to 5,319.60 and 8,498.39

Step by Step Solution

1. Step 1: Write the proportion equation
   5,319.60 : 8,498.39 = 8,498.39 : x
2. Step 2: Convert to fraction form
   5,319.60/8,498.39 = 8,498.39/x
3. Step 3: Cross multiply
   5,319.60x = 8,498.39 × 8,498.39
4. Step 4: Simplify right side
   5,319.60x = 72,222,549.85
5. Step 5: Solve for x
   x = 72,222,549.85/5,319.60
6. Step 6: Final answer
   x = 13,576.69