Finding the Third Proportional to 23,878 and 52,346

Step by Step Solution

1. Step 1: Write the proportion equation
   23,878 : 52,346 = 52,346 : x
2. Step 2: Convert to fraction form
   23,878/52,346 = 52,346/x
3. Step 3: Cross multiply
   23,878x = 52,346 × 52,346
4. Step 4: Simplify right side
   23,878x = 2,740,103,716
5. Step 5: Solve for x
   x = 2,740,103,716/23,878
6. Step 6: Final answer
   x = 114,754.32