Finding the Third Proportional to 23,742 and 55,466

Step by Step Solution

1. Step 1: Write the proportion equation
   23,742 : 55,466 = 55,466 : x
2. Step 2: Convert to fraction form
   23,742/55,466 = 55,466/x
3. Step 3: Cross multiply
   23,742x = 55,466 × 55,466
4. Step 4: Simplify right side
   23,742x = 3,076,477,156
5. Step 5: Solve for x
   x = 3,076,477,156/23,742
6. Step 6: Final answer
   x = 129,579.53