Finding the Third Proportional to 3,420.98 and 4,892.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,420.98 : 4,892.27 = 4,892.27 : x
2. Step 2: Convert to fraction form
   3,420.98/4,892.27 = 4,892.27/x
3. Step 3: Cross multiply
   3,420.98x = 4,892.27 × 4,892.27
4. Step 4: Simplify right side
   3,420.98x = 23,934,339.39
5. Step 5: Solve for x
   x = 23,934,339.39/3,420.98
6. Step 6: Final answer
   x = 6,996.33