Finding the Third Proportional to 10,011 and 13,635

Step by Step Solution

1. Step 1: Write the proportion equation
   10,011 : 13,635 = 13,635 : x
2. Step 2: Convert to fraction form
   10,011/13,635 = 13,635/x
3. Step 3: Cross multiply
   10,011x = 13,635 × 13,635
4. Step 4: Simplify right side
   10,011x = 185,913,225
5. Step 5: Solve for x
   x = 185,913,225/10,011
6. Step 6: Final answer
   x = 18,570.89