Finding the Third Proportional to 25,217 and 34,264

Step by Step Solution

1. Step 1: Write the proportion equation
   25,217 : 34,264 = 34,264 : x
2. Step 2: Convert to fraction form
   25,217/34,264 = 34,264/x
3. Step 3: Cross multiply
   25,217x = 34,264 × 34,264
4. Step 4: Simplify right side
   25,217x = 1,174,021,696
5. Step 5: Solve for x
   x = 1,174,021,696/25,217
6. Step 6: Final answer
   x = 46,556.76