Finding the Third Proportional to 2,566.69 and 4,956.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 4,956.19 = 4,956.19 : x
2. Step 2: Convert to fraction form
   2,566.69/4,956.19 = 4,956.19/x
3. Step 3: Cross multiply
   2,566.69x = 4,956.19 × 4,956.19
4. Step 4: Simplify right side
   2,566.69x = 24,563,794.54
5. Step 5: Solve for x
   x = 24,563,794.54/2,566.69
6. Step 6: Final answer
   x = 9,570.23