Finding the Third Proportional to 9,914 and 21,605

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914 : 21,605 = 21,605 : x
2. Step 2: Convert to fraction form
   9,914/21,605 = 21,605/x
3. Step 3: Cross multiply
   9,914x = 21,605 × 21,605
4. Step 4: Simplify right side
   9,914x = 466,776,025
5. Step 5: Solve for x
   x = 466,776,025/9,914
6. Step 6: Final answer
   x = 47,082.51