Finding the Third Proportional to 23,829 and 52,104

Step by Step Solution

1. Step 1: Write the proportion equation
   23,829 : 52,104 = 52,104 : x
2. Step 2: Convert to fraction form
   23,829/52,104 = 52,104/x
3. Step 3: Cross multiply
   23,829x = 52,104 × 52,104
4. Step 4: Simplify right side
   23,829x = 2,714,826,816
5. Step 5: Solve for x
   x = 2,714,826,816/23,829
6. Step 6: Final answer
   x = 113,929.53