Finding the Third Proportional to 17,836 and 38,494

Step by Step Solution

1. Step 1: Write the proportion equation
   17,836 : 38,494 = 38,494 : x
2. Step 2: Convert to fraction form
   17,836/38,494 = 38,494/x
3. Step 3: Cross multiply
   17,836x = 38,494 × 38,494
4. Step 4: Simplify right side
   17,836x = 1,481,788,036
5. Step 5: Solve for x
   x = 1,481,788,036/17,836
6. Step 6: Final answer
   x = 83,078.49