Finding the Third Proportional to 4,072.78 and 4,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,072.78 : 4,495.50 = 4,495.50 : x
2. Step 2: Convert to fraction form
   4,072.78/4,495.50 = 4,495.50/x
3. Step 3: Cross multiply
   4,072.78x = 4,495.50 × 4,495.50
4. Step 4: Simplify right side
   4,072.78x = 20,209,520.25
5. Step 5: Solve for x
   x = 20,209,520.25/4,072.78
6. Step 6: Final answer
   x = 4,962.09