Finding the Third Proportional to 2,435.50 and 3,652.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,435.50 : 3,652.25 = 3,652.25 : x
2. Step 2: Convert to fraction form
   2,435.50/3,652.25 = 3,652.25/x
3. Step 3: Cross multiply
   2,435.50x = 3,652.25 × 3,652.25
4. Step 4: Simplify right side
   2,435.50x = 13,338,930.06
5. Step 5: Solve for x
   x = 13,338,930.06/2,435.50
6. Step 6: Final answer
   x = 5,476.88