Finding the Third Proportional to 9,762 and 21,710

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762 : 21,710 = 21,710 : x
2. Step 2: Convert to fraction form
   9,762/21,710 = 21,710/x
3. Step 3: Cross multiply
   9,762x = 21,710 × 21,710
4. Step 4: Simplify right side
   9,762x = 471,324,100
5. Step 5: Solve for x
   x = 471,324,100/9,762
6. Step 6: Final answer
   x = 48,281.51