Finding the Third Proportional to 2,434.75 and 3,653.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,434.75 : 3,653.54 = 3,653.54 : x
2. Step 2: Convert to fraction form
   2,434.75/3,653.54 = 3,653.54/x
3. Step 3: Cross multiply
   2,434.75x = 3,653.54 × 3,653.54
4. Step 4: Simplify right side
   2,434.75x = 13,348,376.22
5. Step 5: Solve for x
   x = 13,348,376.22/2,434.75
6. Step 6: Final answer
   x = 5,482.45