Finding the Third Proportional to 10,624 and 23,000

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 23,000 = 23,000 : x
2. Step 2: Convert to fraction form
   10,624/23,000 = 23,000/x
3. Step 3: Cross multiply
   10,624x = 23,000 × 23,000
4. Step 4: Simplify right side
   10,624x = 529,000,000
5. Step 5: Solve for x
   x = 529,000,000/10,624
6. Step 6: Final answer
   x = 49,792.92