Finding the Third Proportional to 6,684.50 and 7,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,684.50 : 7,656.50 = 7,656.50 : x
2. Step 2: Convert to fraction form
   6,684.50/7,656.50 = 7,656.50/x
3. Step 3: Cross multiply
   6,684.50x = 7,656.50 × 7,656.50
4. Step 4: Simplify right side
   6,684.50x = 58,621,992.25
5. Step 5: Solve for x
   x = 58,621,992.25/6,684.50
6. Step 6: Final answer
   x = 8,769.84