Finding the Third Proportional to 3,415.50 and 5,887.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,415.50 : 5,887.69 = 5,887.69 : x
2. Step 2: Convert to fraction form
   3,415.50/5,887.69 = 5,887.69/x
3. Step 3: Cross multiply
   3,415.50x = 5,887.69 × 5,887.69
4. Step 4: Simplify right side
   3,415.50x = 34,664,864.10
5. Step 5: Solve for x
   x = 34,664,864.10/3,415.50
6. Step 6: Final answer
   x = 10,149.28