Finding the Third Proportional to 6,871.50 and 7,605.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,871.50 : 7,605.38 = 7,605.38 : x
2. Step 2: Convert to fraction form
   6,871.50/7,605.38 = 7,605.38/x
3. Step 3: Cross multiply
   6,871.50x = 7,605.38 × 7,605.38
4. Step 4: Simplify right side
   6,871.50x = 57,841,728.89
5. Step 5: Solve for x
   x = 57,841,728.89/6,871.50
6. Step 6: Final answer
   x = 8,417.63