Finding the Third Proportional to 2,505.50 and 3,758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.50 : 3,758.25 = 3,758.25 : x
2. Step 2: Convert to fraction form
   2,505.50/3,758.25 = 3,758.25/x
3. Step 3: Cross multiply
   2,505.50x = 3,758.25 × 3,758.25
4. Step 4: Simplify right side
   2,505.50x = 14,124,443.06
5. Step 5: Solve for x
   x = 14,124,443.06/2,505.50
6. Step 6: Final answer
   x = 5,637.38