Finding the Third Proportional to 10,223.50 and 22,058

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.50 : 22,058 = 22,058 : x
2. Step 2: Convert to fraction form
   10,223.50/22,058 = 22,058/x
3. Step 3: Cross multiply
   10,223.50x = 22,058 × 22,058
4. Step 4: Simplify right side
   10,223.50x = 486,555,364
5. Step 5: Solve for x
   x = 486,555,364/10,223.50
6. Step 6: Final answer
   x = 47,591.86