Finding the Third Proportional to 2,632 and 5,306

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632 : 5,306 = 5,306 : x
2. Step 2: Convert to fraction form
   2,632/5,306 = 5,306/x
3. Step 3: Cross multiply
   2,632x = 5,306 × 5,306
4. Step 4: Simplify right side
   2,632x = 28,153,636
5. Step 5: Solve for x
   x = 28,153,636/2,632
6. Step 6: Final answer
   x = 10,696.67