Finding the Third Proportional to 1,513.69 and 2,415.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.69 : 2,415.66 = 2,415.66 : x
2. Step 2: Convert to fraction form
   1,513.69/2,415.66 = 2,415.66/x
3. Step 3: Cross multiply
   1,513.69x = 2,415.66 × 2,415.66
4. Step 4: Simplify right side
   1,513.69x = 5,835,395.12
5. Step 5: Solve for x
   x = 5,835,395.12/1,513.69
6. Step 6: Final answer
   x = 3,855.09