Finding the Third Proportional to 10,624 and 23,030

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 23,030 = 23,030 : x
2. Step 2: Convert to fraction form
   10,624/23,030 = 23,030/x
3. Step 3: Cross multiply
   10,624x = 23,030 × 23,030
4. Step 4: Simplify right side
   10,624x = 530,380,900
5. Step 5: Solve for x
   x = 530,380,900/10,624
6. Step 6: Final answer
   x = 49,922.90