Finding the Third Proportional to 23,780 and 52,100

Step by Step Solution

1. Step 1: Write the proportion equation
   23,780 : 52,100 = 52,100 : x
2. Step 2: Convert to fraction form
   23,780/52,100 = 52,100/x
3. Step 3: Cross multiply
   23,780x = 52,100 × 52,100
4. Step 4: Simplify right side
   23,780x = 2,714,410,000
5. Step 5: Solve for x
   x = 2,714,410,000/23,780
6. Step 6: Final answer
   x = 114,146.76