Finding the Third Proportional to 9,758.50 and 21,701

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.50 : 21,701 = 21,701 : x
2. Step 2: Convert to fraction form
   9,758.50/21,701 = 21,701/x
3. Step 3: Cross multiply
   9,758.50x = 21,701 × 21,701
4. Step 4: Simplify right side
   9,758.50x = 470,933,401
5. Step 5: Solve for x
   x = 470,933,401/9,758.50
6. Step 6: Final answer
   x = 48,258.79