Finding the Third Proportional to 1,457.25 and 2,317.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.25 : 2,317.25 = 2,317.25 : x
2. Step 2: Convert to fraction form
   1,457.25/2,317.25 = 2,317.25/x
3. Step 3: Cross multiply
   1,457.25x = 2,317.25 × 2,317.25
4. Step 4: Simplify right side
   1,457.25x = 5,369,647.56
5. Step 5: Solve for x
   x = 5,369,647.56/1,457.25
6. Step 6: Final answer
   x = 3,684.78