Finding the Third Proportional to 25,460 and 55,276

Step by Step Solution

1. Step 1: Write the proportion equation
   25,460 : 55,276 = 55,276 : x
2. Step 2: Convert to fraction form
   25,460/55,276 = 55,276/x
3. Step 3: Cross multiply
   25,460x = 55,276 × 55,276
4. Step 4: Simplify right side
   25,460x = 3,055,436,176
5. Step 5: Solve for x
   x = 3,055,436,176/25,460
6. Step 6: Final answer
   x = 120,009.28