Finding the Third Proportional to 7,677 and 10,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,677 : 10,309.50 = 10,309.50 : x
2. Step 2: Convert to fraction form
   7,677/10,309.50 = 10,309.50/x
3. Step 3: Cross multiply
   7,677x = 10,309.50 × 10,309.50
4. Step 4: Simplify right side
   7,677x = 106,285,790.25
5. Step 5: Solve for x
   x = 106,285,790.25/7,677
6. Step 6: Final answer
   x = 13,844.70