Finding the Third Proportional to 36,872 and 55,308

Step by Step Solution

1. Step 1: Write the proportion equation
   36,872 : 55,308 = 55,308 : x
2. Step 2: Convert to fraction form
   36,872/55,308 = 55,308/x
3. Step 3: Cross multiply
   36,872x = 55,308 × 55,308
4. Step 4: Simplify right side
   36,872x = 3,058,974,864
5. Step 5: Solve for x
   x = 3,058,974,864/36,872
6. Step 6: Final answer
   x = 82,962