Finding the Third Proportional to 8,101.69 and 17,474.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,101.69 : 17,474.06 = 17,474.06 : x
2. Step 2: Convert to fraction form
   8,101.69/17,474.06 = 17,474.06/x
3. Step 3: Cross multiply
   8,101.69x = 17,474.06 × 17,474.06
4. Step 4: Simplify right side
   8,101.69x = 305,342,860.25
5. Step 5: Solve for x
   x = 305,342,860.25/8,101.69
6. Step 6: Final answer
   x = 37,688.80