Finding the Third Proportional to 2,842 and 5,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,842 : 5,799.50 = 5,799.50 : x
2. Step 2: Convert to fraction form
   2,842/5,799.50 = 5,799.50/x
3. Step 3: Cross multiply
   2,842x = 5,799.50 × 5,799.50
4. Step 4: Simplify right side
   2,842x = 33,634,200.25
5. Step 5: Solve for x
   x = 33,634,200.25/2,842
6. Step 6: Final answer
   x = 11,834.69