Finding the Third Proportional to 2,477.46 and 5,159.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.46 : 5,159.32 = 5,159.32 : x
2. Step 2: Convert to fraction form
   2,477.46/5,159.32 = 5,159.32/x
3. Step 3: Cross multiply
   2,477.46x = 5,159.32 × 5,159.32
4. Step 4: Simplify right side
   2,477.46x = 26,618,586.09
5. Step 5: Solve for x
   x = 26,618,586.09/2,477.46
6. Step 6: Final answer
   x = 10,744.30