Finding the Third Proportional to 8,414 and 17,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,414 : 17,698.50 = 17,698.50 : x
2. Step 2: Convert to fraction form
   8,414/17,698.50 = 17,698.50/x
3. Step 3: Cross multiply
   8,414x = 17,698.50 × 17,698.50
4. Step 4: Simplify right side
   8,414x = 313,236,902.25
5. Step 5: Solve for x
   x = 313,236,902.25/8,414
6. Step 6: Final answer
   x = 37,228.06