Finding the Third Proportional to 23,830 and 51,314

Step by Step Solution

1. Step 1: Write the proportion equation
   23,830 : 51,314 = 51,314 : x
2. Step 2: Convert to fraction form
   23,830/51,314 = 51,314/x
3. Step 3: Cross multiply
   23,830x = 51,314 × 51,314
4. Step 4: Simplify right side
   23,830x = 2,633,126,596
5. Step 5: Solve for x
   x = 2,633,126,596/23,830
6. Step 6: Final answer
   x = 110,496.29