Finding the Third Proportional to 9,765 and 23,042

Step by Step Solution

1. Step 1: Write the proportion equation
   9,765 : 23,042 = 23,042 : x
2. Step 2: Convert to fraction form
   9,765/23,042 = 23,042/x
3. Step 3: Cross multiply
   9,765x = 23,042 × 23,042
4. Step 4: Simplify right side
   9,765x = 530,933,764
5. Step 5: Solve for x
   x = 530,933,764/9,765
6. Step 6: Final answer
   x = 54,371.10