Finding the Third Proportional to 25,460 and 51,262

Step by Step Solution

1. Step 1: Write the proportion equation
   25,460 : 51,262 = 51,262 : x
2. Step 2: Convert to fraction form
   25,460/51,262 = 51,262/x
3. Step 3: Cross multiply
   25,460x = 51,262 × 51,262
4. Step 4: Simplify right side
   25,460x = 2,627,792,644
5. Step 5: Solve for x
   x = 2,627,792,644/25,460
6. Step 6: Final answer
   x = 103,212.59