Finding the Third Proportional to 7,737 and 10,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,737 : 10,969.50 = 10,969.50 : x
2. Step 2: Convert to fraction form
   7,737/10,969.50 = 10,969.50/x
3. Step 3: Cross multiply
   7,737x = 10,969.50 × 10,969.50
4. Step 4: Simplify right side
   7,737x = 120,329,930.25
5. Step 5: Solve for x
   x = 120,329,930.25/7,737
6. Step 6: Final answer
   x = 15,552.53