Finding the Third Proportional to 7,944 and 10,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,944 : 10,446.50 = 10,446.50 : x
2. Step 2: Convert to fraction form
   7,944/10,446.50 = 10,446.50/x
3. Step 3: Cross multiply
   7,944x = 10,446.50 × 10,446.50
4. Step 4: Simplify right side
   7,944x = 109,129,362.25
5. Step 5: Solve for x
   x = 109,129,362.25/7,944
6. Step 6: Final answer
   x = 13,737.33