Finding the Third Proportional to 1,513.69 and 2,569.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.69 : 2,569.22 = 2,569.22 : x
2. Step 2: Convert to fraction form
   1,513.69/2,569.22 = 2,569.22/x
3. Step 3: Cross multiply
   1,513.69x = 2,569.22 × 2,569.22
4. Step 4: Simplify right side
   1,513.69x = 6,600,884.99
5. Step 5: Solve for x
   x = 6,600,884.99/1,513.69
6. Step 6: Final answer
   x = 4,360.80