Finding the Third Proportional to 2,036 and 4,706

Step by Step Solution

1. Step 1: Write the proportion equation
   2,036 : 4,706 = 4,706 : x
2. Step 2: Convert to fraction form
   2,036/4,706 = 4,706/x
3. Step 3: Cross multiply
   2,036x = 4,706 × 4,706
4. Step 4: Simplify right side
   2,036x = 22,146,436
5. Step 5: Solve for x
   x = 22,146,436/2,036
6. Step 6: Final answer
   x = 10,877.42