Finding the Third Proportional to 1,189.88 and 1,900.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.88 : 1,900.13 = 1,900.13 : x
2. Step 2: Convert to fraction form
   1,189.88/1,900.13 = 1,900.13/x
3. Step 3: Cross multiply
   1,189.88x = 1,900.13 × 1,900.13
4. Step 4: Simplify right side
   1,189.88x = 3,610,475.02
5. Step 5: Solve for x
   x = 3,610,475.02/1,189.88
6. Step 6: Final answer
   x = 3,034.33