Finding the Third Proportional to 27,426 and 57,380

Step by Step Solution

1. Step 1: Write the proportion equation
   27,426 : 57,380 = 57,380 : x
2. Step 2: Convert to fraction form
   27,426/57,380 = 57,380/x
3. Step 3: Cross multiply
   27,426x = 57,380 × 57,380
4. Step 4: Simplify right side
   27,426x = 3,292,464,400
5. Step 5: Solve for x
   x = 3,292,464,400/27,426
6. Step 6: Final answer
   x = 120,049.02