Finding the Third Proportional to 37,842 and 57,289

Step by Step Solution

1. Step 1: Write the proportion equation
   37,842 : 57,289 = 57,289 : x
2. Step 2: Convert to fraction form
   37,842/57,289 = 57,289/x
3. Step 3: Cross multiply
   37,842x = 57,289 × 57,289
4. Step 4: Simplify right side
   37,842x = 3,282,029,521
5. Step 5: Solve for x
   x = 3,282,029,521/37,842
6. Step 6: Final answer
   x = 86,729.81