Finding the Third Proportional to 2,066 and 4,596

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066 : 4,596 = 4,596 : x
2. Step 2: Convert to fraction form
   2,066/4,596 = 4,596/x
3. Step 3: Cross multiply
   2,066x = 4,596 × 4,596
4. Step 4: Simplify right side
   2,066x = 21,123,216
5. Step 5: Solve for x
   x = 21,123,216/2,066
6. Step 6: Final answer
   x = 10,224.21