Finding the Third Proportional to 17,768 and 38,302

Step by Step Solution

1. Step 1: Write the proportion equation
   17,768 : 38,302 = 38,302 : x
2. Step 2: Convert to fraction form
   17,768/38,302 = 38,302/x
3. Step 3: Cross multiply
   17,768x = 38,302 × 38,302
4. Step 4: Simplify right side
   17,768x = 1,467,043,204
5. Step 5: Solve for x
   x = 1,467,043,204/17,768
6. Step 6: Final answer
   x = 82,566.59