Finding the Third Proportional to 20,784.38 and 22,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,784.38 : 22,578.75 = 22,578.75 : x
2. Step 2: Convert to fraction form
   20,784.38/22,578.75 = 22,578.75/x
3. Step 3: Cross multiply
   20,784.38x = 22,578.75 × 22,578.75
4. Step 4: Simplify right side
   20,784.38x = 509,799,951.56
5. Step 5: Solve for x
   x = 509,799,951.56/20,784.38
6. Step 6: Final answer
   x = 24,528.04