Finding the Third Proportional to 10,580 and 23,042

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580 : 23,042 = 23,042 : x
2. Step 2: Convert to fraction form
   10,580/23,042 = 23,042/x
3. Step 3: Cross multiply
   10,580x = 23,042 × 23,042
4. Step 4: Simplify right side
   10,580x = 530,933,764
5. Step 5: Solve for x
   x = 530,933,764/10,580
6. Step 6: Final answer
   x = 50,182.78