Finding the Third Proportional to 1,150.22 and 1,784.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.22 : 1,784.34 = 1,784.34 : x
2. Step 2: Convert to fraction form
   1,150.22/1,784.34 = 1,784.34/x
3. Step 3: Cross multiply
   1,150.22x = 1,784.34 × 1,784.34
4. Step 4: Simplify right side
   1,150.22x = 3,183,882.62
5. Step 5: Solve for x
   x = 3,183,882.62/1,150.22
6. Step 6: Final answer
   x = 2,768.07