Finding the Third Proportional to 1,155.20 and 1,810.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.20 : 1,810.16 = 1,810.16 : x
2. Step 2: Convert to fraction form
   1,155.20/1,810.16 = 1,810.16/x
3. Step 3: Cross multiply
   1,155.20x = 1,810.16 × 1,810.16
4. Step 4: Simplify right side
   1,155.20x = 3,276,679.79
5. Step 5: Solve for x
   x = 3,276,679.79/1,155.20
6. Step 6: Final answer
   x = 2,836.46