Finding the Third Proportional to 37,115 and 57,341

Step by Step Solution

1. Step 1: Write the proportion equation
   37,115 : 57,341 = 57,341 : x
2. Step 2: Convert to fraction form
   37,115/57,341 = 57,341/x
3. Step 3: Cross multiply
   37,115x = 57,341 × 57,341
4. Step 4: Simplify right side
   37,115x = 3,287,990,281
5. Step 5: Solve for x
   x = 3,287,990,281/37,115
6. Step 6: Final answer
   x = 88,589.26