Finding the Third Proportional to 2,538.84 and 5,523.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.84 : 5,523.19 = 5,523.19 : x
2. Step 2: Convert to fraction form
   2,538.84/5,523.19 = 5,523.19/x
3. Step 3: Cross multiply
   2,538.84x = 5,523.19 × 5,523.19
4. Step 4: Simplify right side
   2,538.84x = 30,505,600.16
5. Step 5: Solve for x
   x = 30,505,600.16/2,538.84
6. Step 6: Final answer
   x = 12,015.55