Finding the Third Proportional to 10,780 and 23,734

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 23,734 = 23,734 : x
2. Step 2: Convert to fraction form
   10,780/23,734 = 23,734/x
3. Step 3: Cross multiply
   10,780x = 23,734 × 23,734
4. Step 4: Simplify right side
   10,780x = 563,302,756
5. Step 5: Solve for x
   x = 563,302,756/10,780
6. Step 6: Final answer
   x = 52,254.43