Finding the Third Proportional to 23,780 and 51,240

Step by Step Solution

1. Step 1: Write the proportion equation
   23,780 : 51,240 = 51,240 : x
2. Step 2: Convert to fraction form
   23,780/51,240 = 51,240/x
3. Step 3: Cross multiply
   23,780x = 51,240 × 51,240
4. Step 4: Simplify right side
   23,780x = 2,625,537,600
5. Step 5: Solve for x
   x = 2,625,537,600/23,780
6. Step 6: Final answer
   x = 110,409.49