Finding the Third Proportional to 3,546.40 and 5,665.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,546.40 : 5,665.59 = 5,665.59 : x
2. Step 2: Convert to fraction form
   3,546.40/5,665.59 = 5,665.59/x
3. Step 3: Cross multiply
   3,546.40x = 5,665.59 × 5,665.59
4. Step 4: Simplify right side
   3,546.40x = 32,098,911.04
5. Step 5: Solve for x
   x = 32,098,911.04/3,546.40
6. Step 6: Final answer
   x = 9,051.13