Finding the Third Proportional to 2,407.25 and 3,630.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.25 : 3,630.75 = 3,630.75 : x
2. Step 2: Convert to fraction form
   2,407.25/3,630.75 = 3,630.75/x
3. Step 3: Cross multiply
   2,407.25x = 3,630.75 × 3,630.75
4. Step 4: Simplify right side
   2,407.25x = 13,182,345.56
5. Step 5: Solve for x
   x = 13,182,345.56/2,407.25
6. Step 6: Final answer
   x = 5,476.10