Finding the Third Proportional to 2,513.77 and 3,698.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.77 : 3,698.04 = 3,698.04 : x
2. Step 2: Convert to fraction form
   2,513.77/3,698.04 = 3,698.04/x
3. Step 3: Cross multiply
   2,513.77x = 3,698.04 × 3,698.04
4. Step 4: Simplify right side
   2,513.77x = 13,675,482.07
5. Step 5: Solve for x
   x = 13,675,482.07/2,513.77
6. Step 6: Final answer
   x = 5,440.23