Finding the Third Proportional to 6,177 and 7,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,177 : 7,513.50 = 7,513.50 : x
2. Step 2: Convert to fraction form
   6,177/7,513.50 = 7,513.50/x
3. Step 3: Cross multiply
   6,177x = 7,513.50 × 7,513.50
4. Step 4: Simplify right side
   6,177x = 56,452,682.25
5. Step 5: Solve for x
   x = 56,452,682.25/6,177
6. Step 6: Final answer
   x = 9,139.17