Finding the Third Proportional to 17,580 and 38,616

Step by Step Solution

1. Step 1: Write the proportion equation
   17,580 : 38,616 = 38,616 : x
2. Step 2: Convert to fraction form
   17,580/38,616 = 38,616/x
3. Step 3: Cross multiply
   17,580x = 38,616 × 38,616
4. Step 4: Simplify right side
   17,580x = 1,491,195,456
5. Step 5: Solve for x
   x = 1,491,195,456/17,580
6. Step 6: Final answer
   x = 84,823.40