Finding the Third Proportional to 23,758 and 51,160

Step by Step Solution

1. Step 1: Write the proportion equation
   23,758 : 51,160 = 51,160 : x
2. Step 2: Convert to fraction form
   23,758/51,160 = 51,160/x
3. Step 3: Cross multiply
   23,758x = 51,160 × 51,160
4. Step 4: Simplify right side
   23,758x = 2,617,345,600
5. Step 5: Solve for x
   x = 2,617,345,600/23,758
6. Step 6: Final answer
   x = 110,166.92