Finding the Third Proportional to 10,598 and 22,884

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598 : 22,884 = 22,884 : x
2. Step 2: Convert to fraction form
   10,598/22,884 = 22,884/x
3. Step 3: Cross multiply
   10,598x = 22,884 × 22,884
4. Step 4: Simplify right side
   10,598x = 523,677,456
5. Step 5: Solve for x
   x = 523,677,456/10,598
6. Step 6: Final answer
   x = 49,412.86