Finding the Third Proportional to 10,333 and 22,598

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333 : 22,598 = 22,598 : x
2. Step 2: Convert to fraction form
   10,333/22,598 = 22,598/x
3. Step 3: Cross multiply
   10,333x = 22,598 × 22,598
4. Step 4: Simplify right side
   10,333x = 510,669,604
5. Step 5: Solve for x
   x = 510,669,604/10,333
6. Step 6: Final answer
   x = 49,421.23