Finding the Third Proportional to 1,456.50 and 1,669.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.50 : 1,669.13 = 1,669.13 : x
2. Step 2: Convert to fraction form
   1,456.50/1,669.13 = 1,669.13/x
3. Step 3: Cross multiply
   1,456.50x = 1,669.13 × 1,669.13
4. Step 4: Simplify right side
   1,456.50x = 2,785,978.27
5. Step 5: Solve for x
   x = 2,785,978.27/1,456.50
6. Step 6: Final answer
   x = 1,912.79