Finding the Third Proportional to 2,538.38 and 4,114.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.38 : 4,114.88 = 4,114.88 : x
2. Step 2: Convert to fraction form
   2,538.38/4,114.88 = 4,114.88/x
3. Step 3: Cross multiply
   2,538.38x = 4,114.88 × 4,114.88
4. Step 4: Simplify right side
   2,538.38x = 16,932,196.27
5. Step 5: Solve for x
   x = 16,932,196.27/2,538.38
6. Step 6: Final answer
   x = 6,670.49