Finding the Third Proportional to 27,842 and 57,988

Step by Step Solution

1. Step 1: Write the proportion equation
   27,842 : 57,988 = 57,988 : x
2. Step 2: Convert to fraction form
   27,842/57,988 = 57,988/x
3. Step 3: Cross multiply
   27,842x = 57,988 × 57,988
4. Step 4: Simplify right side
   27,842x = 3,362,608,144
5. Step 5: Solve for x
   x = 3,362,608,144/27,842
6. Step 6: Final answer
   x = 120,774.66