Finding the Third Proportional to 37,852 and 57,696

Step by Step Solution

1. Step 1: Write the proportion equation
   37,852 : 57,696 = 57,696 : x
2. Step 2: Convert to fraction form
   37,852/57,696 = 57,696/x
3. Step 3: Cross multiply
   37,852x = 57,696 × 57,696
4. Step 4: Simplify right side
   37,852x = 3,328,828,416
5. Step 5: Solve for x
   x = 3,328,828,416/37,852
6. Step 6: Final answer
   x = 87,943.26