Finding the Third Proportional to 36,815 and 57,410

Step by Step Solution

1. Step 1: Write the proportion equation
   36,815 : 57,410 = 57,410 : x
2. Step 2: Convert to fraction form
   36,815/57,410 = 57,410/x
3. Step 3: Cross multiply
   36,815x = 57,410 × 57,410
4. Step 4: Simplify right side
   36,815x = 3,295,908,100
5. Step 5: Solve for x
   x = 3,295,908,100/36,815
6. Step 6: Final answer
   x = 89,526.23