Finding the Third Proportional to 6,034 and 9,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,034 : 9,089.50 = 9,089.50 : x
2. Step 2: Convert to fraction form
   6,034/9,089.50 = 9,089.50/x
3. Step 3: Cross multiply
   6,034x = 9,089.50 × 9,089.50
4. Step 4: Simplify right side
   6,034x = 82,619,010.25
5. Step 5: Solve for x
   x = 82,619,010.25/6,034
6. Step 6: Final answer
   x = 13,692.25