Finding the Third Proportional to 580 and 1,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   580 : 1,101.50 = 1,101.50 : x
2. Step 2: Convert to fraction form
   580/1,101.50 = 1,101.50/x
3. Step 3: Cross multiply
   580x = 1,101.50 × 1,101.50
4. Step 4: Simplify right side
   580x = 1,213,302.25
5. Step 5: Solve for x
   x = 1,213,302.25/580
6. Step 6: Final answer
   x = 2,091.90