Finding the Third Proportional to 2,476.69 and 5,157.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,476.69 : 5,157.38 = 5,157.38 : x
2. Step 2: Convert to fraction form
   2,476.69/5,157.38 = 5,157.38/x
3. Step 3: Cross multiply
   2,476.69x = 5,157.38 × 5,157.38
4. Step 4: Simplify right side
   2,476.69x = 26,598,516.89
5. Step 5: Solve for x
   x = 26,598,516.89/2,476.69
6. Step 6: Final answer
   x = 10,739.55