Finding the Third Proportional to 2,796 and 5,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,796 : 5,769.50 = 5,769.50 : x
2. Step 2: Convert to fraction form
   2,796/5,769.50 = 5,769.50/x
3. Step 3: Cross multiply
   2,796x = 5,769.50 × 5,769.50
4. Step 4: Simplify right side
   2,796x = 33,287,130.25
5. Step 5: Solve for x
   x = 33,287,130.25/2,796
6. Step 6: Final answer
   x = 11,905.27