Finding the Third Proportional to 5,199.19 and 9,289.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,199.19 : 9,289.69 = 9,289.69 : x
2. Step 2: Convert to fraction form
   5,199.19/9,289.69 = 9,289.69/x
3. Step 3: Cross multiply
   5,199.19x = 9,289.69 × 9,289.69
4. Step 4: Simplify right side
   5,199.19x = 86,298,293.85
5. Step 5: Solve for x
   x = 86,298,293.85/5,199.19
6. Step 6: Final answer
   x = 16,598.42