Finding the Third Proportional to 10,624 and 23,096

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 23,096 = 23,096 : x
2. Step 2: Convert to fraction form
   10,624/23,096 = 23,096/x
3. Step 3: Cross multiply
   10,624x = 23,096 × 23,096
4. Step 4: Simplify right side
   10,624x = 533,425,216
5. Step 5: Solve for x
   x = 533,425,216/10,624
6. Step 6: Final answer
   x = 50,209.45