Finding the Third Proportional to 25,898 and 55,486

Step by Step Solution

1. Step 1: Write the proportion equation
   25,898 : 55,486 = 55,486 : x
2. Step 2: Convert to fraction form
   25,898/55,486 = 55,486/x
3. Step 3: Cross multiply
   25,898x = 55,486 × 55,486
4. Step 4: Simplify right side
   25,898x = 3,078,696,196
5. Step 5: Solve for x
   x = 3,078,696,196/25,898
6. Step 6: Final answer
   x = 118,877.76