Finding the Third Proportional to 37,886 and 57,982

Step by Step Solution

1. Step 1: Write the proportion equation
   37,886 : 57,982 = 57,982 : x
2. Step 2: Convert to fraction form
   37,886/57,982 = 57,982/x
3. Step 3: Cross multiply
   37,886x = 57,982 × 57,982
4. Step 4: Simplify right side
   37,886x = 3,361,912,324
5. Step 5: Solve for x
   x = 3,361,912,324/37,886
6. Step 6: Final answer
   x = 88,737.59