Finding the Third Proportional to 2,505.25 and 3,736.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.25 : 3,736.38 = 3,736.38 : x
2. Step 2: Convert to fraction form
   2,505.25/3,736.38 = 3,736.38/x
3. Step 3: Cross multiply
   2,505.25x = 3,736.38 × 3,736.38
4. Step 4: Simplify right side
   2,505.25x = 13,960,498.14
5. Step 5: Solve for x
   x = 13,960,498.14/2,505.25
6. Step 6: Final answer
   x = 5,572.50