Finding the Third Proportional to 7,200 and 10,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,200 : 10,543.50 = 10,543.50 : x
2. Step 2: Convert to fraction form
   7,200/10,543.50 = 10,543.50/x
3. Step 3: Cross multiply
   7,200x = 10,543.50 × 10,543.50
4. Step 4: Simplify right side
   7,200x = 111,165,392.25
5. Step 5: Solve for x
   x = 111,165,392.25/7,200
6. Step 6: Final answer
   x = 15,439.64