Finding the Third Proportional to 25,185 and 55,146

Step by Step Solution

1. Step 1: Write the proportion equation
   25,185 : 55,146 = 55,146 : x
2. Step 2: Convert to fraction form
   25,185/55,146 = 55,146/x
3. Step 3: Cross multiply
   25,185x = 55,146 × 55,146
4. Step 4: Simplify right side
   25,185x = 3,041,081,316
5. Step 5: Solve for x
   x = 3,041,081,316/25,185
6. Step 6: Final answer
   x = 120,749.70