Finding the Third Proportional to 2,546.65 and 5,369.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.65 : 5,369.84 = 5,369.84 : x
2. Step 2: Convert to fraction form
   2,546.65/5,369.84 = 5,369.84/x
3. Step 3: Cross multiply
   2,546.65x = 5,369.84 × 5,369.84
4. Step 4: Simplify right side
   2,546.65x = 28,835,138.00
5. Step 5: Solve for x
   x = 28,835,138.00/2,546.65
6. Step 6: Final answer
   x = 11,322.78