Finding the Third Proportional to 6,099 and 7,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,099 : 7,744.50 = 7,744.50 : x
2. Step 2: Convert to fraction form
   6,099/7,744.50 = 7,744.50/x
3. Step 3: Cross multiply
   6,099x = 7,744.50 × 7,744.50
4. Step 4: Simplify right side
   6,099x = 59,977,280.25
5. Step 5: Solve for x
   x = 59,977,280.25/6,099
6. Step 6: Final answer
   x = 9,833.95