Finding the Third Proportional to 2,605.61 and 5,065.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.61 : 5,065.98 = 5,065.98 : x
2. Step 2: Convert to fraction form
   2,605.61/5,065.98 = 5,065.98/x
3. Step 3: Cross multiply
   2,605.61x = 5,065.98 × 5,065.98
4. Step 4: Simplify right side
   2,605.61x = 25,664,158.11
5. Step 5: Solve for x
   x = 25,664,158.11/2,605.61
6. Step 6: Final answer
   x = 9,849.59