Finding the Third Proportional to 1,100.81 and 1,580.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.81 : 1,580.91 = 1,580.91 : x
2. Step 2: Convert to fraction form
   1,100.81/1,580.91 = 1,580.91/x
3. Step 3: Cross multiply
   1,100.81x = 1,580.91 × 1,580.91
4. Step 4: Simplify right side
   1,100.81x = 2,499,264.57
5. Step 5: Solve for x
   x = 2,499,264.57/1,100.81
6. Step 6: Final answer
   x = 2,270.38