Finding the Third Proportional to 2,642 and 4,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642 : 4,089.50 = 4,089.50 : x
2. Step 2: Convert to fraction form
   2,642/4,089.50 = 4,089.50/x
3. Step 3: Cross multiply
   2,642x = 4,089.50 × 4,089.50
4. Step 4: Simplify right side
   2,642x = 16,724,010.25
5. Step 5: Solve for x
   x = 16,724,010.25/2,642
6. Step 6: Final answer
   x = 6,330.06