Finding the Third Proportional to 1,559.67 and 1,762.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.67 : 1,762.17 = 1,762.17 : x
2. Step 2: Convert to fraction form
   1,559.67/1,762.17 = 1,762.17/x
3. Step 3: Cross multiply
   1,559.67x = 1,762.17 × 1,762.17
4. Step 4: Simplify right side
   1,559.67x = 3,105,249.72
5. Step 5: Solve for x
   x = 3,105,249.72/1,559.67
6. Step 6: Final answer
   x = 1,990.96