Finding the Third Proportional to 9,832 and 23,762

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832 : 23,762 = 23,762 : x
2. Step 2: Convert to fraction form
   9,832/23,762 = 23,762/x
3. Step 3: Cross multiply
   9,832x = 23,762 × 23,762
4. Step 4: Simplify right side
   9,832x = 564,632,644
5. Step 5: Solve for x
   x = 564,632,644/9,832
6. Step 6: Final answer
   x = 57,428.06