Finding the Third Proportional to 2,816.50 and 5,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,816.50 : 5,811.50 = 5,811.50 : x
2. Step 2: Convert to fraction form
   2,816.50/5,811.50 = 5,811.50/x
3. Step 3: Cross multiply
   2,816.50x = 5,811.50 × 5,811.50
4. Step 4: Simplify right side
   2,816.50x = 33,773,532.25
5. Step 5: Solve for x
   x = 33,773,532.25/2,816.50
6. Step 6: Final answer
   x = 11,991.31