Finding the Third Proportional to 1,352.25 and 1,808.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.25 : 1,808.16 = 1,808.16 : x
2. Step 2: Convert to fraction form
   1,352.25/1,808.16 = 1,808.16/x
3. Step 3: Cross multiply
   1,352.25x = 1,808.16 × 1,808.16
4. Step 4: Simplify right side
   1,352.25x = 3,269,429.02
5. Step 5: Solve for x
   x = 3,269,429.02/1,352.25
6. Step 6: Final answer
   x = 2,417.77