Finding the Third Proportional to 1,585.20 and 1,737.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.20 : 1,737.07 = 1,737.07 : x
2. Step 2: Convert to fraction form
   1,585.20/1,737.07 = 1,737.07/x
3. Step 3: Cross multiply
   1,585.20x = 1,737.07 × 1,737.07
4. Step 4: Simplify right side
   1,585.20x = 3,017,413.27
5. Step 5: Solve for x
   x = 3,017,413.27/1,585.20
6. Step 6: Final answer
   x = 1,903.50