Finding the Third Proportional to 25,688 and 54,848

Step by Step Solution

1. Step 1: Write the proportion equation
   25,688 : 54,848 = 54,848 : x
2. Step 2: Convert to fraction form
   25,688/54,848 = 54,848/x
3. Step 3: Cross multiply
   25,688x = 54,848 × 54,848
4. Step 4: Simplify right side
   25,688x = 3,008,303,104
5. Step 5: Solve for x
   x = 3,008,303,104/25,688
6. Step 6: Final answer
   x = 117,109.28