Finding the Third Proportional to 2,503.69 and 3,746.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,503.69 : 3,746.53 = 3,746.53 : x
2. Step 2: Convert to fraction form
   2,503.69/3,746.53 = 3,746.53/x
3. Step 3: Cross multiply
   2,503.69x = 3,746.53 × 3,746.53
4. Step 4: Simplify right side
   2,503.69x = 14,036,496.41
5. Step 5: Solve for x
   x = 14,036,496.41/2,503.69
6. Step 6: Final answer
   x = 5,606.33