Finding the Third Proportional to 2,188.13 and 3,673.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.13 : 3,673.69 = 3,673.69 : x
2. Step 2: Convert to fraction form
   2,188.13/3,673.69 = 3,673.69/x
3. Step 3: Cross multiply
   2,188.13x = 3,673.69 × 3,673.69
4. Step 4: Simplify right side
   2,188.13x = 13,495,979.85
5. Step 5: Solve for x
   x = 13,495,979.85/2,188.13
6. Step 6: Final answer
   x = 6,167.83