Finding the Third Proportional to 5,764.50 and 10,422

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764.50 : 10,422 = 10,422 : x
2. Step 2: Convert to fraction form
   5,764.50/10,422 = 10,422/x
3. Step 3: Cross multiply
   5,764.50x = 10,422 × 10,422
4. Step 4: Simplify right side
   5,764.50x = 108,618,084
5. Step 5: Solve for x
   x = 108,618,084/5,764.50
6. Step 6: Final answer
   x = 18,842.59