Finding the Third Proportional to 5,870 and 13,030

Step by Step Solution

1. Step 1: Write the proportion equation
   5,870 : 13,030 = 13,030 : x
2. Step 2: Convert to fraction form
   5,870/13,030 = 13,030/x
3. Step 3: Cross multiply
   5,870x = 13,030 × 13,030
4. Step 4: Simplify right side
   5,870x = 169,780,900
5. Step 5: Solve for x
   x = 169,780,900/5,870
6. Step 6: Final answer
   x = 28,923.49