Finding the Third Proportional to 1,683.50 and 2,605.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.50 : 2,605.25 = 2,605.25 : x
2. Step 2: Convert to fraction form
   1,683.50/2,605.25 = 2,605.25/x
3. Step 3: Cross multiply
   1,683.50x = 2,605.25 × 2,605.25
4. Step 4: Simplify right side
   1,683.50x = 6,787,327.56
5. Step 5: Solve for x
   x = 6,787,327.56/1,683.50
6. Step 6: Final answer
   x = 4,031.68