Finding the Third Proportional to 4,111.13 and 5,575.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,111.13 : 5,575.88 = 5,575.88 : x
2. Step 2: Convert to fraction form
   4,111.13/5,575.88 = 5,575.88/x
3. Step 3: Cross multiply
   4,111.13x = 5,575.88 × 5,575.88
4. Step 4: Simplify right side
   4,111.13x = 31,090,382.02
5. Step 5: Solve for x
   x = 31,090,382.02/4,111.13
6. Step 6: Final answer
   x = 7,562.50