Finding the Third Proportional to 2,693.25 and 4,185

Step by Step Solution

1. Step 1: Write the proportion equation
   2,693.25 : 4,185 = 4,185 : x
2. Step 2: Convert to fraction form
   2,693.25/4,185 = 4,185/x
3. Step 3: Cross multiply
   2,693.25x = 4,185 × 4,185
4. Step 4: Simplify right side
   2,693.25x = 17,514,225
5. Step 5: Solve for x
   x = 17,514,225/2,693.25
6. Step 6: Final answer
   x = 6,503.01