Finding the Third Proportional to 9,762 and 21,231

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762 : 21,231 = 21,231 : x
2. Step 2: Convert to fraction form
   9,762/21,231 = 21,231/x
3. Step 3: Cross multiply
   9,762x = 21,231 × 21,231
4. Step 4: Simplify right side
   9,762x = 450,755,361
5. Step 5: Solve for x
   x = 450,755,361/9,762
6. Step 6: Final answer
   x = 46,174.49