Finding the Third Proportional to 1,189.69 and 2,859.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.69 : 2,859.05 = 2,859.05 : x
2. Step 2: Convert to fraction form
   1,189.69/2,859.05 = 2,859.05/x
3. Step 3: Cross multiply
   1,189.69x = 2,859.05 × 2,859.05
4. Step 4: Simplify right side
   1,189.69x = 8,174,149.03
5. Step 5: Solve for x
   x = 8,174,149.03/1,189.69
6. Step 6: Final answer
   x = 6,870.84