Finding the Third Proportional to 27,115 and 57,146

Step by Step Solution

1. Step 1: Write the proportion equation
   27,115 : 57,146 = 57,146 : x
2. Step 2: Convert to fraction form
   27,115/57,146 = 57,146/x
3. Step 3: Cross multiply
   27,115x = 57,146 × 57,146
4. Step 4: Simplify right side
   27,115x = 3,265,665,316
5. Step 5: Solve for x
   x = 3,265,665,316/27,115
6. Step 6: Final answer
   x = 120,437.59