Finding the Third Proportional to 17,596 and 38,264

Step by Step Solution

1. Step 1: Write the proportion equation
   17,596 : 38,264 = 38,264 : x
2. Step 2: Convert to fraction form
   17,596/38,264 = 38,264/x
3. Step 3: Cross multiply
   17,596x = 38,264 × 38,264
4. Step 4: Simplify right side
   17,596x = 1,464,133,696
5. Step 5: Solve for x
   x = 1,464,133,696/17,596
6. Step 6: Final answer
   x = 83,208.33