Finding the Third Proportional to 2,566.69 and 5,094.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 5,094.14 = 5,094.14 : x
2. Step 2: Convert to fraction form
   2,566.69/5,094.14 = 5,094.14/x
3. Step 3: Cross multiply
   2,566.69x = 5,094.14 × 5,094.14
4. Step 4: Simplify right side
   2,566.69x = 25,950,268.71
5. Step 5: Solve for x
   x = 25,950,268.71/2,566.69
6. Step 6: Final answer
   x = 10,110.41