Finding the Third Proportional to 17,745 and 38,802

Step by Step Solution

1. Step 1: Write the proportion equation
   17,745 : 38,802 = 38,802 : x
2. Step 2: Convert to fraction form
   17,745/38,802 = 38,802/x
3. Step 3: Cross multiply
   17,745x = 38,802 × 38,802
4. Step 4: Simplify right side
   17,745x = 1,505,595,204
5. Step 5: Solve for x
   x = 1,505,595,204/17,745
6. Step 6: Final answer
   x = 84,846.17