Finding the Third Proportional to 21,774 and 30,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,774 : 30,568.50 = 30,568.50 : x
2. Step 2: Convert to fraction form
   21,774/30,568.50 = 30,568.50/x
3. Step 3: Cross multiply
   21,774x = 30,568.50 × 30,568.50
4. Step 4: Simplify right side
   21,774x = 934,433,192.25
5. Step 5: Solve for x
   x = 934,433,192.25/21,774
6. Step 6: Final answer
   x = 42,915.09