Finding the Third Proportional to 2,538.84 and 5,167.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.84 : 5,167.55 = 5,167.55 : x
2. Step 2: Convert to fraction form
   2,538.84/5,167.55 = 5,167.55/x
3. Step 3: Cross multiply
   2,538.84x = 5,167.55 × 5,167.55
4. Step 4: Simplify right side
   2,538.84x = 26,703,540.71
5. Step 5: Solve for x
   x = 26,703,540.71/2,538.84
6. Step 6: Final answer
   x = 10,517.99