Finding the Third Proportional to 649.69 and 1,410.56

Step by Step Solution

1. Step 1: Write the proportion equation
   649.69 : 1,410.56 = 1,410.56 : x
2. Step 2: Convert to fraction form
   649.69/1,410.56 = 1,410.56/x
3. Step 3: Cross multiply
   649.69x = 1,410.56 × 1,410.56
4. Step 4: Simplify right side
   649.69x = 1,989,686.57
5. Step 5: Solve for x
   x = 1,989,686.57/649.69
6. Step 6: Final answer
   x = 3,062.53