Finding the Third Proportional to 1,513.69 and 1,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.69 : 1,680.75 = 1,680.75 : x
2. Step 2: Convert to fraction form
   1,513.69/1,680.75 = 1,680.75/x
3. Step 3: Cross multiply
   1,513.69x = 1,680.75 × 1,680.75
4. Step 4: Simplify right side
   1,513.69x = 2,824,920.56
5. Step 5: Solve for x
   x = 2,824,920.56/1,513.69
6. Step 6: Final answer
   x = 1,866.25