Finding the Third Proportional to 10,599 and 23,019

Step by Step Solution

1. Step 1: Write the proportion equation
   10,599 : 23,019 = 23,019 : x
2. Step 2: Convert to fraction form
   10,599/23,019 = 23,019/x
3. Step 3: Cross multiply
   10,599x = 23,019 × 23,019
4. Step 4: Simplify right side
   10,599x = 529,874,361
5. Step 5: Solve for x
   x = 529,874,361/10,599
6. Step 6: Final answer
   x = 49,992.86