Finding the Third Proportional to 3,646.06 and 5,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,646.06 : 5,502.50 = 5,502.50 : x
2. Step 2: Convert to fraction form
   3,646.06/5,502.50 = 5,502.50/x
3. Step 3: Cross multiply
   3,646.06x = 5,502.50 × 5,502.50
4. Step 4: Simplify right side
   3,646.06x = 30,277,506.25
5. Step 5: Solve for x
   x = 30,277,506.25/3,646.06
6. Step 6: Final answer
   x = 8,304.17