Finding the Third Proportional to 2,648.25 and 3,725.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.25 : 3,725.63 = 3,725.63 : x
2. Step 2: Convert to fraction form
   2,648.25/3,725.63 = 3,725.63/x
3. Step 3: Cross multiply
   2,648.25x = 3,725.63 × 3,725.63
4. Step 4: Simplify right side
   2,648.25x = 13,880,281.64
5. Step 5: Solve for x
   x = 13,880,281.64/2,648.25
6. Step 6: Final answer
   x = 5,241.30