Finding the Third Proportional to 17,722 and 38,378

Step by Step Solution

1. Step 1: Write the proportion equation
   17,722 : 38,378 = 38,378 : x
2. Step 2: Convert to fraction form
   17,722/38,378 = 38,378/x
3. Step 3: Cross multiply
   17,722x = 38,378 × 38,378
4. Step 4: Simplify right side
   17,722x = 1,472,870,884
5. Step 5: Solve for x
   x = 1,472,870,884/17,722
6. Step 6: Final answer
   x = 83,109.74