Finding the Third Proportional to 6,089.25 and 9,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,089.25 : 9,199.50 = 9,199.50 : x
2. Step 2: Convert to fraction form
   6,089.25/9,199.50 = 9,199.50/x
3. Step 3: Cross multiply
   6,089.25x = 9,199.50 × 9,199.50
4. Step 4: Simplify right side
   6,089.25x = 84,630,800.25
5. Step 5: Solve for x
   x = 84,630,800.25/6,089.25
6. Step 6: Final answer
   x = 13,898.39