Finding the Third Proportional to 23,229 and 51,147

Step by Step Solution

1. Step 1: Write the proportion equation
   23,229 : 51,147 = 51,147 : x
2. Step 2: Convert to fraction form
   23,229/51,147 = 51,147/x
3. Step 3: Cross multiply
   23,229x = 51,147 × 51,147
4. Step 4: Simplify right side
   23,229x = 2,616,015,609
5. Step 5: Solve for x
   x = 2,616,015,609/23,229
6. Step 6: Final answer
   x = 112,618.52