Finding the Third Proportional to 5,288.63 and 10,212.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,288.63 : 10,212.75 = 10,212.75 : x
2. Step 2: Convert to fraction form
   5,288.63/10,212.75 = 10,212.75/x
3. Step 3: Cross multiply
   5,288.63x = 10,212.75 × 10,212.75
4. Step 4: Simplify right side
   5,288.63x = 104,300,262.56
5. Step 5: Solve for x
   x = 104,300,262.56/5,288.63
6. Step 6: Final answer
   x = 19,721.62