Finding the Third Proportional to 17,766 and 38,221

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 38,221 = 38,221 : x
2. Step 2: Convert to fraction form
   17,766/38,221 = 38,221/x
3. Step 3: Cross multiply
   17,766x = 38,221 × 38,221
4. Step 4: Simplify right side
   17,766x = 1,460,844,841
5. Step 5: Solve for x
   x = 1,460,844,841/17,766
6. Step 6: Final answer
   x = 82,227.00