Finding the Third Proportional to 4,965 and 7,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,965 : 7,096.50 = 7,096.50 : x
2. Step 2: Convert to fraction form
   4,965/7,096.50 = 7,096.50/x
3. Step 3: Cross multiply
   4,965x = 7,096.50 × 7,096.50
4. Step 4: Simplify right side
   4,965x = 50,360,312.25
5. Step 5: Solve for x
   x = 50,360,312.25/4,965
6. Step 6: Final answer
   x = 10,143.06