Finding the Third Proportional to 37,335 and 57,815

Step by Step Solution

1. Step 1: Write the proportion equation
   37,335 : 57,815 = 57,815 : x
2. Step 2: Convert to fraction form
   37,335/57,815 = 57,815/x
3. Step 3: Cross multiply
   37,335x = 57,815 × 57,815
4. Step 4: Simplify right side
   37,335x = 3,342,574,225
5. Step 5: Solve for x
   x = 3,342,574,225/37,335
6. Step 6: Final answer
   x = 89,529.24