Finding the Third Proportional to 25,635 and 55,158

Step by Step Solution

1. Step 1: Write the proportion equation
   25,635 : 55,158 = 55,158 : x
2. Step 2: Convert to fraction form
   25,635/55,158 = 55,158/x
3. Step 3: Cross multiply
   25,635x = 55,158 × 55,158
4. Step 4: Simplify right side
   25,635x = 3,042,404,964
5. Step 5: Solve for x
   x = 3,042,404,964/25,635
6. Step 6: Final answer
   x = 118,681.68