Finding the Third Proportional to 2,338 and 5,106

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338 : 5,106 = 5,106 : x
2. Step 2: Convert to fraction form
   2,338/5,106 = 5,106/x
3. Step 3: Cross multiply
   2,338x = 5,106 × 5,106
4. Step 4: Simplify right side
   2,338x = 26,071,236
5. Step 5: Solve for x
   x = 26,071,236/2,338
6. Step 6: Final answer
   x = 11,151.08