Finding the Third Proportional to 36,882 and 53,019

Step by Step Solution

1. Step 1: Write the proportion equation
   36,882 : 53,019 = 53,019 : x
2. Step 2: Convert to fraction form
   36,882/53,019 = 53,019/x
3. Step 3: Cross multiply
   36,882x = 53,019 × 53,019
4. Step 4: Simplify right side
   36,882x = 2,811,014,361
5. Step 5: Solve for x
   x = 2,811,014,361/36,882
6. Step 6: Final answer
   x = 76,216.43