Finding the Third Proportional to 17,770 and 38,274

Step by Step Solution

1. Step 1: Write the proportion equation
   17,770 : 38,274 = 38,274 : x
2. Step 2: Convert to fraction form
   17,770/38,274 = 38,274/x
3. Step 3: Cross multiply
   17,770x = 38,274 × 38,274
4. Step 4: Simplify right side
   17,770x = 1,464,899,076
5. Step 5: Solve for x
   x = 1,464,899,076/17,770
6. Step 6: Final answer
   x = 82,436.64