Finding the Third Proportional to 27,578 and 57,856

Step by Step Solution

1. Step 1: Write the proportion equation
   27,578 : 57,856 = 57,856 : x
2. Step 2: Convert to fraction form
   27,578/57,856 = 57,856/x
3. Step 3: Cross multiply
   27,578x = 57,856 × 57,856
4. Step 4: Simplify right side
   27,578x = 3,347,316,736
5. Step 5: Solve for x
   x = 3,347,316,736/27,578
6. Step 6: Final answer
   x = 121,376.34