Finding the Third Proportional to 5,630 and 10,558

Step by Step Solution

1. Step 1: Write the proportion equation
   5,630 : 10,558 = 10,558 : x
2. Step 2: Convert to fraction form
   5,630/10,558 = 10,558/x
3. Step 3: Cross multiply
   5,630x = 10,558 × 10,558
4. Step 4: Simplify right side
   5,630x = 111,471,364
5. Step 5: Solve for x
   x = 111,471,364/5,630
6. Step 6: Final answer
   x = 19,799.53