Finding the Third Proportional to 10,223.80 and 21,683.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.80 : 21,683.48 = 21,683.48 : x
2. Step 2: Convert to fraction form
   10,223.80/21,683.48 = 21,683.48/x
3. Step 3: Cross multiply
   10,223.80x = 21,683.48 × 21,683.48
4. Step 4: Simplify right side
   10,223.80x = 470,173,240.54
5. Step 5: Solve for x
   x = 470,173,240.54/10,223.80
6. Step 6: Final answer
   x = 45,988.12