Finding the Third Proportional to 6,016.50 and 7,641

Step by Step Solution

1. Step 1: Write the proportion equation
   6,016.50 : 7,641 = 7,641 : x
2. Step 2: Convert to fraction form
   6,016.50/7,641 = 7,641/x
3. Step 3: Cross multiply
   6,016.50x = 7,641 × 7,641
4. Step 4: Simplify right side
   6,016.50x = 58,384,881
5. Step 5: Solve for x
   x = 58,384,881/6,016.50
6. Step 6: Final answer
   x = 9,704.13