Finding the Third Proportional to 1,648.50 and 2,351.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.50 : 2,351.25 = 2,351.25 : x
2. Step 2: Convert to fraction form
   1,648.50/2,351.25 = 2,351.25/x
3. Step 3: Cross multiply
   1,648.50x = 2,351.25 × 2,351.25
4. Step 4: Simplify right side
   1,648.50x = 5,528,376.56
5. Step 5: Solve for x
   x = 5,528,376.56/1,648.50
6. Step 6: Final answer
   x = 3,353.58