Finding the Third Proportional to 2,851.88 and 5,830.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,851.88 : 5,830.13 = 5,830.13 : x
2. Step 2: Convert to fraction form
   2,851.88/5,830.13 = 5,830.13/x
3. Step 3: Cross multiply
   2,851.88x = 5,830.13 × 5,830.13
4. Step 4: Simplify right side
   2,851.88x = 33,990,357.52
5. Step 5: Solve for x
   x = 33,990,357.52/2,851.88
6. Step 6: Final answer
   x = 11,918.60