Finding the Third Proportional to 17,648 and 38,176

Step by Step Solution

1. Step 1: Write the proportion equation
   17,648 : 38,176 = 38,176 : x
2. Step 2: Convert to fraction form
   17,648/38,176 = 38,176/x
3. Step 3: Cross multiply
   17,648x = 38,176 × 38,176
4. Step 4: Simplify right side
   17,648x = 1,457,406,976
5. Step 5: Solve for x
   x = 1,457,406,976/17,648
6. Step 6: Final answer
   x = 82,581.99