Finding the Third Proportional to 8,081.50 and 17,438

Step by Step Solution

1. Step 1: Write the proportion equation
   8,081.50 : 17,438 = 17,438 : x
2. Step 2: Convert to fraction form
   8,081.50/17,438 = 17,438/x
3. Step 3: Cross multiply
   8,081.50x = 17,438 × 17,438
4. Step 4: Simplify right side
   8,081.50x = 304,083,844
5. Step 5: Solve for x
   x = 304,083,844/8,081.50
6. Step 6: Final answer
   x = 37,627.15