Finding the Third Proportional to 9,765 and 21,522

Step by Step Solution

1. Step 1: Write the proportion equation
   9,765 : 21,522 = 21,522 : x
2. Step 2: Convert to fraction form
   9,765/21,522 = 21,522/x
3. Step 3: Cross multiply
   9,765x = 21,522 × 21,522
4. Step 4: Simplify right side
   9,765x = 463,196,484
5. Step 5: Solve for x
   x = 463,196,484/9,765
6. Step 6: Final answer
   x = 47,434.36