Finding the Third Proportional to 37,734 and 51,065

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734 : 51,065 = 51,065 : x
2. Step 2: Convert to fraction form
   37,734/51,065 = 51,065/x
3. Step 3: Cross multiply
   37,734x = 51,065 × 51,065
4. Step 4: Simplify right side
   37,734x = 2,607,634,225
5. Step 5: Solve for x
   x = 2,607,634,225/37,734
6. Step 6: Final answer
   x = 69,105.69