Finding the Third Proportional to 3,755.25 and 8,772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.25 : 8,772.75 = 8,772.75 : x
2. Step 2: Convert to fraction form
   3,755.25/8,772.75 = 8,772.75/x
3. Step 3: Cross multiply
   3,755.25x = 8,772.75 × 8,772.75
4. Step 4: Simplify right side
   3,755.25x = 76,961,142.56
5. Step 5: Solve for x
   x = 76,961,142.56/3,755.25
6. Step 6: Final answer
   x = 20,494.28