Finding the Third Proportional to 22,770 and 34,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,770 : 34,616.50 = 34,616.50 : x
2. Step 2: Convert to fraction form
   22,770/34,616.50 = 34,616.50/x
3. Step 3: Cross multiply
   22,770x = 34,616.50 × 34,616.50
4. Step 4: Simplify right side
   22,770x = 1,198,302,072.25
5. Step 5: Solve for x
   x = 1,198,302,072.25/22,770
6. Step 6: Final answer
   x = 52,626.35