Finding the Third Proportional to 27,038 and 57,898

Step by Step Solution

1. Step 1: Write the proportion equation
   27,038 : 57,898 = 57,898 : x
2. Step 2: Convert to fraction form
   27,038/57,898 = 57,898/x
3. Step 3: Cross multiply
   27,038x = 57,898 × 57,898
4. Step 4: Simplify right side
   27,038x = 3,352,178,404
5. Step 5: Solve for x
   x = 3,352,178,404/27,038
6. Step 6: Final answer
   x = 123,980.26