Finding the Third Proportional to 1,150.13 and 1,828.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.13 : 1,828.88 = 1,828.88 : x
2. Step 2: Convert to fraction form
   1,150.13/1,828.88 = 1,828.88/x
3. Step 3: Cross multiply
   1,150.13x = 1,828.88 × 1,828.88
4. Step 4: Simplify right side
   1,150.13x = 3,344,783.77
5. Step 5: Solve for x
   x = 3,344,783.77/1,150.13
6. Step 6: Final answer
   x = 2,908.19