Finding the Third Proportional to 4,066.50 and 5,889.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,066.50 : 5,889.75 = 5,889.75 : x
2. Step 2: Convert to fraction form
   4,066.50/5,889.75 = 5,889.75/x
3. Step 3: Cross multiply
   4,066.50x = 5,889.75 × 5,889.75
4. Step 4: Simplify right side
   4,066.50x = 34,689,155.06
5. Step 5: Solve for x
   x = 34,689,155.06/4,066.50
6. Step 6: Final answer
   x = 8,530.47