Finding the Third Proportional to 2,478.09 and 5,364.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.09 : 5,364.56 = 5,364.56 : x
2. Step 2: Convert to fraction form
   2,478.09/5,364.56 = 5,364.56/x
3. Step 3: Cross multiply
   2,478.09x = 5,364.56 × 5,364.56
4. Step 4: Simplify right side
   2,478.09x = 28,778,530.82
5. Step 5: Solve for x
   x = 28,778,530.82/2,478.09
6. Step 6: Final answer
   x = 11,613.17