Finding the Third Proportional to 3,385.13 and 3,646.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,385.13 : 3,646.69 = 3,646.69 : x
2. Step 2: Convert to fraction form
   3,385.13/3,646.69 = 3,646.69/x
3. Step 3: Cross multiply
   3,385.13x = 3,646.69 × 3,646.69
4. Step 4: Simplify right side
   3,385.13x = 13,298,329.72
5. Step 5: Solve for x
   x = 13,298,329.72/3,385.13
6. Step 6: Final answer
   x = 3,928.46