Finding the Third Proportional to 27,820 and 57,584

Step by Step Solution

1. Step 1: Write the proportion equation
   27,820 : 57,584 = 57,584 : x
2. Step 2: Convert to fraction form
   27,820/57,584 = 57,584/x
3. Step 3: Cross multiply
   27,820x = 57,584 × 57,584
4. Step 4: Simplify right side
   27,820x = 3,315,917,056
5. Step 5: Solve for x
   x = 3,315,917,056/27,820
6. Step 6: Final answer
   x = 119,191.84