Finding the Third Proportional to 15,722 and 21,636

Step by Step Solution

1. Step 1: Write the proportion equation
   15,722 : 21,636 = 21,636 : x
2. Step 2: Convert to fraction form
   15,722/21,636 = 21,636/x
3. Step 3: Cross multiply
   15,722x = 21,636 × 21,636
4. Step 4: Simplify right side
   15,722x = 468,116,496
5. Step 5: Solve for x
   x = 468,116,496/15,722
6. Step 6: Final answer
   x = 29,774.61