Finding the Third Proportional to 2,485.83 and 5,415.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,485.83 : 5,415.47 = 5,415.47 : x
2. Step 2: Convert to fraction form
   2,485.83/5,415.47 = 5,415.47/x
3. Step 3: Cross multiply
   2,485.83x = 5,415.47 × 5,415.47
4. Step 4: Simplify right side
   2,485.83x = 29,327,301.78
5. Step 5: Solve for x
   x = 29,327,301.78/2,485.83
6. Step 6: Final answer
   x = 11,797.80