Finding the Third Proportional to 37,337 and 57,818

Step by Step Solution

1. Step 1: Write the proportion equation
   37,337 : 57,818 = 57,818 : x
2. Step 2: Convert to fraction form
   37,337/57,818 = 57,818/x
3. Step 3: Cross multiply
   37,337x = 57,818 × 57,818
4. Step 4: Simplify right side
   37,337x = 3,342,921,124
5. Step 5: Solve for x
   x = 3,342,921,124/37,337
6. Step 6: Final answer
   x = 89,533.74