Finding the Third Proportional to 3,849.75 and 5,888.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.75 : 5,888.25 = 5,888.25 : x
2. Step 2: Convert to fraction form
   3,849.75/5,888.25 = 5,888.25/x
3. Step 3: Cross multiply
   3,849.75x = 5,888.25 × 5,888.25
4. Step 4: Simplify right side
   3,849.75x = 34,671,488.06
5. Step 5: Solve for x
   x = 34,671,488.06/3,849.75
6. Step 6: Final answer
   x = 9,006.17