Finding the Third Proportional to 2,836.50 and 5,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,836.50 : 5,816.50 = 5,816.50 : x
2. Step 2: Convert to fraction form
   2,836.50/5,816.50 = 5,816.50/x
3. Step 3: Cross multiply
   2,836.50x = 5,816.50 × 5,816.50
4. Step 4: Simplify right side
   2,836.50x = 33,831,672.25
5. Step 5: Solve for x
   x = 33,831,672.25/2,836.50
6. Step 6: Final answer
   x = 11,927.26