Finding the Third Proportional to 37,965 and 57,884

Step by Step Solution

1. Step 1: Write the proportion equation
   37,965 : 57,884 = 57,884 : x
2. Step 2: Convert to fraction form
   37,965/57,884 = 57,884/x
3. Step 3: Cross multiply
   37,965x = 57,884 × 57,884
4. Step 4: Simplify right side
   37,965x = 3,350,557,456
5. Step 5: Solve for x
   x = 3,350,557,456/37,965
6. Step 6: Final answer
   x = 88,253.85