Finding the Third Proportional to 16,040 and 38,642

Step by Step Solution

1. Step 1: Write the proportion equation
   16,040 : 38,642 = 38,642 : x
2. Step 2: Convert to fraction form
   16,040/38,642 = 38,642/x
3. Step 3: Cross multiply
   16,040x = 38,642 × 38,642
4. Step 4: Simplify right side
   16,040x = 1,493,204,164
5. Step 5: Solve for x
   x = 1,493,204,164/16,040
6. Step 6: Final answer
   x = 93,092.53