Finding the Third Proportional to 27,281 and 57,316

Step by Step Solution

1. Step 1: Write the proportion equation
   27,281 : 57,316 = 57,316 : x
2. Step 2: Convert to fraction form
   27,281/57,316 = 57,316/x
3. Step 3: Cross multiply
   27,281x = 57,316 × 57,316
4. Step 4: Simplify right side
   27,281x = 3,285,123,856
5. Step 5: Solve for x
   x = 3,285,123,856/27,281
6. Step 6: Final answer
   x = 120,418.01