Finding the Third Proportional to 25,460 and 55,264

Step by Step Solution

1. Step 1: Write the proportion equation
   25,460 : 55,264 = 55,264 : x
2. Step 2: Convert to fraction form
   25,460/55,264 = 55,264/x
3. Step 3: Cross multiply
   25,460x = 55,264 × 55,264
4. Step 4: Simplify right side
   25,460x = 3,054,109,696
5. Step 5: Solve for x
   x = 3,054,109,696/25,460
6. Step 6: Final answer
   x = 119,957.18