Finding the Third Proportional to 2,534.55 and 5,419.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534.55 : 5,419.41 = 5,419.41 : x
2. Step 2: Convert to fraction form
   2,534.55/5,419.41 = 5,419.41/x
3. Step 3: Cross multiply
   2,534.55x = 5,419.41 × 5,419.41
4. Step 4: Simplify right side
   2,534.55x = 29,369,964.10
5. Step 5: Solve for x
   x = 29,369,964.10/2,534.55
6. Step 6: Final answer
   x = 11,587.82