Finding the Third Proportional to 10,583 and 23,343

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583 : 23,343 = 23,343 : x
2. Step 2: Convert to fraction form
   10,583/23,343 = 23,343/x
3. Step 3: Cross multiply
   10,583x = 23,343 × 23,343
4. Step 4: Simplify right side
   10,583x = 544,895,649
5. Step 5: Solve for x
   x = 544,895,649/10,583
6. Step 6: Final answer
   x = 51,487.82