Finding the Third Proportional to 2,522.81 and 5,410.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.81 : 5,410.13 = 5,410.13 : x
2. Step 2: Convert to fraction form
   2,522.81/5,410.13 = 5,410.13/x
3. Step 3: Cross multiply
   2,522.81x = 5,410.13 × 5,410.13
4. Step 4: Simplify right side
   2,522.81x = 29,269,452.52
5. Step 5: Solve for x
   x = 29,269,452.52/2,522.81
6. Step 6: Final answer
   x = 11,601.91