Finding the Third Proportional to 3,992 and 5,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,992 : 5,420.50 = 5,420.50 : x
2. Step 2: Convert to fraction form
   3,992/5,420.50 = 5,420.50/x
3. Step 3: Cross multiply
   3,992x = 5,420.50 × 5,420.50
4. Step 4: Simplify right side
   3,992x = 29,381,820.25
5. Step 5: Solve for x
   x = 29,381,820.25/3,992
6. Step 6: Final answer
   x = 7,360.18