Finding the Third Proportional to 17,616 and 38,184

Step by Step Solution

1. Step 1: Write the proportion equation
   17,616 : 38,184 = 38,184 : x
2. Step 2: Convert to fraction form
   17,616/38,184 = 38,184/x
3. Step 3: Cross multiply
   17,616x = 38,184 × 38,184
4. Step 4: Simplify right side
   17,616x = 1,458,017,856
5. Step 5: Solve for x
   x = 1,458,017,856/17,616
6. Step 6: Final answer
   x = 82,766.68