Finding the Third Proportional to 23,408 and 52,372

Step by Step Solution

1. Step 1: Write the proportion equation
   23,408 : 52,372 = 52,372 : x
2. Step 2: Convert to fraction form
   23,408/52,372 = 52,372/x
3. Step 3: Cross multiply
   23,408x = 52,372 × 52,372
4. Step 4: Simplify right side
   23,408x = 2,742,826,384
5. Step 5: Solve for x
   x = 2,742,826,384/23,408
6. Step 6: Final answer
   x = 117,174.74