Finding the Third Proportional to 1,648.88 and 3,605.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.88 : 3,605.25 = 3,605.25 : x
2. Step 2: Convert to fraction form
   1,648.88/3,605.25 = 3,605.25/x
3. Step 3: Cross multiply
   1,648.88x = 3,605.25 × 3,605.25
4. Step 4: Simplify right side
   1,648.88x = 12,997,827.56
5. Step 5: Solve for x
   x = 12,997,827.56/1,648.88
6. Step 6: Final answer
   x = 7,882.85