Finding the Third Proportional to 5,011 and 10,535

Step by Step Solution

1. Step 1: Write the proportion equation
   5,011 : 10,535 = 10,535 : x
2. Step 2: Convert to fraction form
   5,011/10,535 = 10,535/x
3. Step 3: Cross multiply
   5,011x = 10,535 × 10,535
4. Step 4: Simplify right side
   5,011x = 110,986,225
5. Step 5: Solve for x
   x = 110,986,225/5,011
6. Step 6: Final answer
   x = 22,148.52