Finding the Third Proportional to 5,221.13 and 7,543.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,221.13 : 7,543.69 = 7,543.69 : x
2. Step 2: Convert to fraction form
   5,221.13/7,543.69 = 7,543.69/x
3. Step 3: Cross multiply
   5,221.13x = 7,543.69 × 7,543.69
4. Step 4: Simplify right side
   5,221.13x = 56,907,221.10
5. Step 5: Solve for x
   x = 56,907,221.10/5,221.13
6. Step 6: Final answer
   x = 10,899.42