Finding the Third Proportional to 10,620 and 23,742

Step by Step Solution

1. Step 1: Write the proportion equation
   10,620 : 23,742 = 23,742 : x
2. Step 2: Convert to fraction form
   10,620/23,742 = 23,742/x
3. Step 3: Cross multiply
   10,620x = 23,742 × 23,742
4. Step 4: Simplify right side
   10,620x = 563,682,564
5. Step 5: Solve for x
   x = 563,682,564/10,620
6. Step 6: Final answer
   x = 53,077.45