Finding the Third Proportional to 24,065 and 37,191

Step by Step Solution

1. Step 1: Write the proportion equation
   24,065 : 37,191 = 37,191 : x
2. Step 2: Convert to fraction form
   24,065/37,191 = 37,191/x
3. Step 3: Cross multiply
   24,065x = 37,191 × 37,191
4. Step 4: Simplify right side
   24,065x = 1,383,170,481
5. Step 5: Solve for x
   x = 1,383,170,481/24,065
6. Step 6: Final answer
   x = 57,476.44