Finding the Third Proportional to 10,598 and 23,311

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598 : 23,311 = 23,311 : x
2. Step 2: Convert to fraction form
   10,598/23,311 = 23,311/x
3. Step 3: Cross multiply
   10,598x = 23,311 × 23,311
4. Step 4: Simplify right side
   10,598x = 543,402,721
5. Step 5: Solve for x
   x = 543,402,721/10,598
6. Step 6: Final answer
   x = 51,274.08