Finding the Third Proportional to 5,496.19 and 5,941.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,496.19 : 5,941.69 = 5,941.69 : x
2. Step 2: Convert to fraction form
   5,496.19/5,941.69 = 5,941.69/x
3. Step 3: Cross multiply
   5,496.19x = 5,941.69 × 5,941.69
4. Step 4: Simplify right side
   5,496.19x = 35,303,650.35
5. Step 5: Solve for x
   x = 35,303,650.35/5,496.19
6. Step 6: Final answer
   x = 6,423.30