Finding the Third Proportional to 27,789 and 57,521

Step by Step Solution

1. Step 1: Write the proportion equation
   27,789 : 57,521 = 57,521 : x
2. Step 2: Convert to fraction form
   27,789/57,521 = 57,521/x
3. Step 3: Cross multiply
   27,789x = 57,521 × 57,521
4. Step 4: Simplify right side
   27,789x = 3,308,665,441
5. Step 5: Solve for x
   x = 3,308,665,441/27,789
6. Step 6: Final answer
   x = 119,063.85