Finding the Third Proportional to 5,386.50 and 10,469.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,386.50 : 10,469.25 = 10,469.25 : x
2. Step 2: Convert to fraction form
   5,386.50/10,469.25 = 10,469.25/x
3. Step 3: Cross multiply
   5,386.50x = 10,469.25 × 10,469.25
4. Step 4: Simplify right side
   5,386.50x = 109,605,195.56
5. Step 5: Solve for x
   x = 109,605,195.56/5,386.50
6. Step 6: Final answer
   x = 20,348.13