Finding the Third Proportional to 23,697 and 51,858

Step by Step Solution

1. Step 1: Write the proportion equation
   23,697 : 51,858 = 51,858 : x
2. Step 2: Convert to fraction form
   23,697/51,858 = 51,858/x
3. Step 3: Cross multiply
   23,697x = 51,858 × 51,858
4. Step 4: Simplify right side
   23,697x = 2,689,252,164
5. Step 5: Solve for x
   x = 2,689,252,164/23,697
6. Step 6: Final answer
   x = 113,484.92