Finding the Third Proportional to 5,924 and 10,636

Step by Step Solution

1. Step 1: Write the proportion equation
   5,924 : 10,636 = 10,636 : x
2. Step 2: Convert to fraction form
   5,924/10,636 = 10,636/x
3. Step 3: Cross multiply
   5,924x = 10,636 × 10,636
4. Step 4: Simplify right side
   5,924x = 113,124,496
5. Step 5: Solve for x
   x = 113,124,496/5,924
6. Step 6: Final answer
   x = 19,095.96