Finding the Third Proportional to 2,492.65 and 5,241.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.65 : 5,241.59 = 5,241.59 : x
2. Step 2: Convert to fraction form
   2,492.65/5,241.59 = 5,241.59/x
3. Step 3: Cross multiply
   2,492.65x = 5,241.59 × 5,241.59
4. Step 4: Simplify right side
   2,492.65x = 27,474,223.14
5. Step 5: Solve for x
   x = 27,474,223.14/2,492.65
6. Step 6: Final answer
   x = 11,022.10