Finding the Third Proportional to 25,679 and 55,192

Step by Step Solution

1. Step 1: Write the proportion equation
   25,679 : 55,192 = 55,192 : x
2. Step 2: Convert to fraction form
   25,679/55,192 = 55,192/x
3. Step 3: Cross multiply
   25,679x = 55,192 × 55,192
4. Step 4: Simplify right side
   25,679x = 3,046,156,864
5. Step 5: Solve for x
   x = 3,046,156,864/25,679
6. Step 6: Final answer
   x = 118,624.43