Finding the Third Proportional to 17,736 and 38,796

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 38,796 = 38,796 : x
2. Step 2: Convert to fraction form
   17,736/38,796 = 38,796/x
3. Step 3: Cross multiply
   17,736x = 38,796 × 38,796
4. Step 4: Simplify right side
   17,736x = 1,505,129,616
5. Step 5: Solve for x
   x = 1,505,129,616/17,736
6. Step 6: Final answer
   x = 84,862.97