Finding the Third Proportional to 17,721 and 38,196

Step by Step Solution

1. Step 1: Write the proportion equation
   17,721 : 38,196 = 38,196 : x
2. Step 2: Convert to fraction form
   17,721/38,196 = 38,196/x
3. Step 3: Cross multiply
   17,721x = 38,196 × 38,196
4. Step 4: Simplify right side
   17,721x = 1,458,934,416
5. Step 5: Solve for x
   x = 1,458,934,416/17,721
6. Step 6: Final answer
   x = 82,328.00