Finding the Third Proportional to 37,882 and 57,976

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882 : 57,976 = 57,976 : x
2. Step 2: Convert to fraction form
   37,882/57,976 = 57,976/x
3. Step 3: Cross multiply
   37,882x = 57,976 × 57,976
4. Step 4: Simplify right side
   37,882x = 3,361,216,576
5. Step 5: Solve for x
   x = 3,361,216,576/37,882
6. Step 6: Final answer
   x = 88,728.59