Finding the Third Proportional to 6,772.50 and 7,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,772.50 : 7,690.50 = 7,690.50 : x
2. Step 2: Convert to fraction form
   6,772.50/7,690.50 = 7,690.50/x
3. Step 3: Cross multiply
   6,772.50x = 7,690.50 × 7,690.50
4. Step 4: Simplify right side
   6,772.50x = 59,143,790.25
5. Step 5: Solve for x
   x = 59,143,790.25/6,772.50
6. Step 6: Final answer
   x = 8,732.93