Finding the Third Proportional to 1,830 and 2,404.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830 : 2,404.13 = 2,404.13 : x
2. Step 2: Convert to fraction form
   1,830/2,404.13 = 2,404.13/x
3. Step 3: Cross multiply
   1,830x = 2,404.13 × 2,404.13
4. Step 4: Simplify right side
   1,830x = 5,779,817.02
5. Step 5: Solve for x
   x = 5,779,817.02/1,830
6. Step 6: Final answer
   x = 3,158.37