Finding the Third Proportional to 3,477 and 7,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,477 : 7,096.50 = 7,096.50 : x
2. Step 2: Convert to fraction form
   3,477/7,096.50 = 7,096.50/x
3. Step 3: Cross multiply
   3,477x = 7,096.50 × 7,096.50
4. Step 4: Simplify right side
   3,477x = 50,360,312.25
5. Step 5: Solve for x
   x = 50,360,312.25/3,477
6. Step 6: Final answer
   x = 14,483.84