Finding the Third Proportional to 10,170 and 23,759

Step by Step Solution

1. Step 1: Write the proportion equation
   10,170 : 23,759 = 23,759 : x
2. Step 2: Convert to fraction form
   10,170/23,759 = 23,759/x
3. Step 3: Cross multiply
   10,170x = 23,759 × 23,759
4. Step 4: Simplify right side
   10,170x = 564,490,081
5. Step 5: Solve for x
   x = 564,490,081/10,170
6. Step 6: Final answer
   x = 55,505.42