Finding the Third Proportional to 5,296.64 and 10,228.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,296.64 : 10,228.78 = 10,228.78 : x
2. Step 2: Convert to fraction form
   5,296.64/10,228.78 = 10,228.78/x
3. Step 3: Cross multiply
   5,296.64x = 10,228.78 × 10,228.78
4. Step 4: Simplify right side
   5,296.64x = 104,627,965.86
5. Step 5: Solve for x
   x = 104,627,965.86/5,296.64
6. Step 6: Final answer
   x = 19,753.65