Finding the Third Proportional to 9,774 and 23,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 23,644.50 = 23,644.50 : x
2. Step 2: Convert to fraction form
   9,774/23,644.50 = 23,644.50/x
3. Step 3: Cross multiply
   9,774x = 23,644.50 × 23,644.50
4. Step 4: Simplify right side
   9,774x = 559,062,380.25
5. Step 5: Solve for x
   x = 559,062,380.25/9,774
6. Step 6: Final answer
   x = 57,198.93