Finding the Third Proportional to 25,681 and 55,195

Step by Step Solution

1. Step 1: Write the proportion equation
   25,681 : 55,195 = 55,195 : x
2. Step 2: Convert to fraction form
   25,681/55,195 = 55,195/x
3. Step 3: Cross multiply
   25,681x = 55,195 × 55,195
4. Step 4: Simplify right side
   25,681x = 3,046,488,025
5. Step 5: Solve for x
   x = 3,046,488,025/25,681
6. Step 6: Final answer
   x = 118,628.09