Finding the Third Proportional to 2,888 and 5,630

Step by Step Solution

1. Step 1: Write the proportion equation
   2,888 : 5,630 = 5,630 : x
2. Step 2: Convert to fraction form
   2,888/5,630 = 5,630/x
3. Step 3: Cross multiply
   2,888x = 5,630 × 5,630
4. Step 4: Simplify right side
   2,888x = 31,696,900
5. Step 5: Solve for x
   x = 31,696,900/2,888
6. Step 6: Final answer
   x = 10,975.38