Finding the Third Proportional to 23,408 and 51,200

Step by Step Solution

1. Step 1: Write the proportion equation
   23,408 : 51,200 = 51,200 : x
2. Step 2: Convert to fraction form
   23,408/51,200 = 51,200/x
3. Step 3: Cross multiply
   23,408x = 51,200 × 51,200
4. Step 4: Simplify right side
   23,408x = 2,621,440,000
5. Step 5: Solve for x
   x = 2,621,440,000/23,408
6. Step 6: Final answer
   x = 111,989.06