Finding the Third Proportional to 2,886 and 4,522

Step by Step Solution

1. Step 1: Write the proportion equation
   2,886 : 4,522 = 4,522 : x
2. Step 2: Convert to fraction form
   2,886/4,522 = 4,522/x
3. Step 3: Cross multiply
   2,886x = 4,522 × 4,522
4. Step 4: Simplify right side
   2,886x = 20,448,484
5. Step 5: Solve for x
   x = 20,448,484/2,886
6. Step 6: Final answer
   x = 7,085.41