Finding the Third Proportional to 17,204 and 37,688

Step by Step Solution

1. Step 1: Write the proportion equation
   17,204 : 37,688 = 37,688 : x
2. Step 2: Convert to fraction form
   17,204/37,688 = 37,688/x
3. Step 3: Cross multiply
   17,204x = 37,688 × 37,688
4. Step 4: Simplify right side
   17,204x = 1,420,385,344
5. Step 5: Solve for x
   x = 1,420,385,344/17,204
6. Step 6: Final answer
   x = 82,561.34