Finding the Third Proportional to 1,189.88 and 1,825.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.88 : 1,825.31 = 1,825.31 : x
2. Step 2: Convert to fraction form
   1,189.88/1,825.31 = 1,825.31/x
3. Step 3: Cross multiply
   1,189.88x = 1,825.31 × 1,825.31
4. Step 4: Simplify right side
   1,189.88x = 3,331,765.72
5. Step 5: Solve for x
   x = 3,331,765.72/1,189.88
6. Step 6: Final answer
   x = 2,800.10