Finding the Third Proportional to 23,924 and 52,408

Step by Step Solution

1. Step 1: Write the proportion equation
   23,924 : 52,408 = 52,408 : x
2. Step 2: Convert to fraction form
   23,924/52,408 = 52,408/x
3. Step 3: Cross multiply
   23,924x = 52,408 × 52,408
4. Step 4: Simplify right side
   23,924x = 2,746,598,464
5. Step 5: Solve for x
   x = 2,746,598,464/23,924
6. Step 6: Final answer
   x = 114,805.15