Finding the Third Proportional to 6,696 and 7,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,696 : 7,303.50 = 7,303.50 : x
2. Step 2: Convert to fraction form
   6,696/7,303.50 = 7,303.50/x
3. Step 3: Cross multiply
   6,696x = 7,303.50 × 7,303.50
4. Step 4: Simplify right side
   6,696x = 53,341,112.25
5. Step 5: Solve for x
   x = 53,341,112.25/6,696
6. Step 6: Final answer
   x = 7,966.12