Finding the Third Proportional to 17,776 and 38,167

Step by Step Solution

1. Step 1: Write the proportion equation
   17,776 : 38,167 = 38,167 : x
2. Step 2: Convert to fraction form
   17,776/38,167 = 38,167/x
3. Step 3: Cross multiply
   17,776x = 38,167 × 38,167
4. Step 4: Simplify right side
   17,776x = 1,456,719,889
5. Step 5: Solve for x
   x = 1,456,719,889/17,776
6. Step 6: Final answer
   x = 81,948.69