Finding the Third Proportional to 2,700 and 5,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,700 : 5,821.50 = 5,821.50 : x
2. Step 2: Convert to fraction form
   2,700/5,821.50 = 5,821.50/x
3. Step 3: Cross multiply
   2,700x = 5,821.50 × 5,821.50
4. Step 4: Simplify right side
   2,700x = 33,889,862.25
5. Step 5: Solve for x
   x = 33,889,862.25/2,700
6. Step 6: Final answer
   x = 12,551.80