Finding the Third Proportional to 7,180 and 10,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,180 : 10,533.50 = 10,533.50 : x
2. Step 2: Convert to fraction form
   7,180/10,533.50 = 10,533.50/x
3. Step 3: Cross multiply
   7,180x = 10,533.50 × 10,533.50
4. Step 4: Simplify right side
   7,180x = 110,954,622.25
5. Step 5: Solve for x
   x = 110,954,622.25/7,180
6. Step 6: Final answer
   x = 15,453.29