Finding the Third Proportional to 25,196 and 54,766

Step by Step Solution

1. Step 1: Write the proportion equation
   25,196 : 54,766 = 54,766 : x
2. Step 2: Convert to fraction form
   25,196/54,766 = 54,766/x
3. Step 3: Cross multiply
   25,196x = 54,766 × 54,766
4. Step 4: Simplify right side
   25,196x = 2,999,314,756
5. Step 5: Solve for x
   x = 2,999,314,756/25,196
6. Step 6: Final answer
   x = 119,039.32