Finding the Third Proportional to 17,760 and 38,290

Step by Step Solution

1. Step 1: Write the proportion equation
   17,760 : 38,290 = 38,290 : x
2. Step 2: Convert to fraction form
   17,760/38,290 = 38,290/x
3. Step 3: Cross multiply
   17,760x = 38,290 × 38,290
4. Step 4: Simplify right side
   17,760x = 1,466,124,100
5. Step 5: Solve for x
   x = 1,466,124,100/17,760
6. Step 6: Final answer
   x = 82,552.03