Finding the Third Proportional to 5,035 and 10,627

Step by Step Solution

1. Step 1: Write the proportion equation
   5,035 : 10,627 = 10,627 : x
2. Step 2: Convert to fraction form
   5,035/10,627 = 10,627/x
3. Step 3: Cross multiply
   5,035x = 10,627 × 10,627
4. Step 4: Simplify right side
   5,035x = 112,933,129
5. Step 5: Solve for x
   x = 112,933,129/5,035
6. Step 6: Final answer
   x = 22,429.62