Finding the Third Proportional to 37,141 and 57,561

Step by Step Solution

1. Step 1: Write the proportion equation
   37,141 : 57,561 = 57,561 : x
2. Step 2: Convert to fraction form
   37,141/57,561 = 57,561/x
3. Step 3: Cross multiply
   37,141x = 57,561 × 57,561
4. Step 4: Simplify right side
   37,141x = 3,313,268,721
5. Step 5: Solve for x
   x = 3,313,268,721/37,141
6. Step 6: Final answer
   x = 89,207.85