Finding the Third Proportional to 3,626.37 and 4,892.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,626.37 : 4,892.80 = 4,892.80 : x
2. Step 2: Convert to fraction form
   3,626.37/4,892.80 = 4,892.80/x
3. Step 3: Cross multiply
   3,626.37x = 4,892.80 × 4,892.80
4. Step 4: Simplify right side
   3,626.37x = 23,939,499.49
5. Step 5: Solve for x
   x = 23,939,499.49/3,626.37
6. Step 6: Final answer
   x = 6,601.51