Finding the Third Proportional to 2,912 and 5,635

Step by Step Solution

1. Step 1: Write the proportion equation
   2,912 : 5,635 = 5,635 : x
2. Step 2: Convert to fraction form
   2,912/5,635 = 5,635/x
3. Step 3: Cross multiply
   2,912x = 5,635 × 5,635
4. Step 4: Simplify right side
   2,912x = 31,753,225
5. Step 5: Solve for x
   x = 31,753,225/2,912
6. Step 6: Final answer
   x = 10,904.27