Finding the Third Proportional to 5,740 and 8,870

Step by Step Solution

1. Step 1: Write the proportion equation
   5,740 : 8,870 = 8,870 : x
2. Step 2: Convert to fraction form
   5,740/8,870 = 8,870/x
3. Step 3: Cross multiply
   5,740x = 8,870 × 8,870
4. Step 4: Simplify right side
   5,740x = 78,676,900
5. Step 5: Solve for x
   x = 78,676,900/5,740
6. Step 6: Final answer
   x = 13,706.78