Finding the Third Proportional to 2,564.67 and 5,539.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.67 : 5,539.40 = 5,539.40 : x
2. Step 2: Convert to fraction form
   2,564.67/5,539.40 = 5,539.40/x
3. Step 3: Cross multiply
   2,564.67x = 5,539.40 × 5,539.40
4. Step 4: Simplify right side
   2,564.67x = 30,684,989.15
5. Step 5: Solve for x
   x = 30,684,989.15/2,564.67
6. Step 6: Final answer
   x = 11,964.50