Finding the Third Proportional to 22,774 and 34,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,774 : 34,621.50 = 34,621.50 : x
2. Step 2: Convert to fraction form
   22,774/34,621.50 = 34,621.50/x
3. Step 3: Cross multiply
   22,774x = 34,621.50 × 34,621.50
4. Step 4: Simplify right side
   22,774x = 1,198,648,262.25
5. Step 5: Solve for x
   x = 1,198,648,262.25/22,774
6. Step 6: Final answer
   x = 52,632.31