Finding the Third Proportional to 2,986.50 and 5,899.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,986.50 : 5,899.75 = 5,899.75 : x
2. Step 2: Convert to fraction form
   2,986.50/5,899.75 = 5,899.75/x
3. Step 3: Cross multiply
   2,986.50x = 5,899.75 × 5,899.75
4. Step 4: Simplify right side
   2,986.50x = 34,807,050.06
5. Step 5: Solve for x
   x = 34,807,050.06/2,986.50
6. Step 6: Final answer
   x = 11,654.80