Finding the Third Proportional to 3,112 and 5,630

Step by Step Solution

1. Step 1: Write the proportion equation
   3,112 : 5,630 = 5,630 : x
2. Step 2: Convert to fraction form
   3,112/5,630 = 5,630/x
3. Step 3: Cross multiply
   3,112x = 5,630 × 5,630
4. Step 4: Simplify right side
   3,112x = 31,696,900
5. Step 5: Solve for x
   x = 31,696,900/3,112
6. Step 6: Final answer
   x = 10,185.38