Finding the Third Proportional to 8,071.88 and 17,380.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,071.88 : 17,380.69 = 17,380.69 : x
2. Step 2: Convert to fraction form
   8,071.88/17,380.69 = 17,380.69/x
3. Step 3: Cross multiply
   8,071.88x = 17,380.69 × 17,380.69
4. Step 4: Simplify right side
   8,071.88x = 302,088,297.97
5. Step 5: Solve for x
   x = 302,088,297.97/8,071.88
6. Step 6: Final answer
   x = 37,424.80