Finding the Third Proportional to 10,436 and 21,565

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436 : 21,565 = 21,565 : x
2. Step 2: Convert to fraction form
   10,436/21,565 = 21,565/x
3. Step 3: Cross multiply
   10,436x = 21,565 × 21,565
4. Step 4: Simplify right side
   10,436x = 465,049,225
5. Step 5: Solve for x
   x = 465,049,225/10,436
6. Step 6: Final answer
   x = 44,562.02