Finding the Third Proportional to 2,686.50 and 4,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.50 : 4,196.25 = 4,196.25 : x
2. Step 2: Convert to fraction form
   2,686.50/4,196.25 = 4,196.25/x
3. Step 3: Cross multiply
   2,686.50x = 4,196.25 × 4,196.25
4. Step 4: Simplify right side
   2,686.50x = 17,608,514.06
5. Step 5: Solve for x
   x = 17,608,514.06/2,686.50
6. Step 6: Final answer
   x = 6,554.44