Finding the Third Proportional to 17,797 and 38,726

Step by Step Solution

1. Step 1: Write the proportion equation
   17,797 : 38,726 = 38,726 : x
2. Step 2: Convert to fraction form
   17,797/38,726 = 38,726/x
3. Step 3: Cross multiply
   17,797x = 38,726 × 38,726
4. Step 4: Simplify right side
   17,797x = 1,499,703,076
5. Step 5: Solve for x
   x = 1,499,703,076/17,797
6. Step 6: Final answer
   x = 84,267.18