Finding the Third Proportional to 17,786 and 38,326

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786 : 38,326 = 38,326 : x
2. Step 2: Convert to fraction form
   17,786/38,326 = 38,326/x
3. Step 3: Cross multiply
   17,786x = 38,326 × 38,326
4. Step 4: Simplify right side
   17,786x = 1,468,882,276
5. Step 5: Solve for x
   x = 1,468,882,276/17,786
6. Step 6: Final answer
   x = 82,586.43