Finding the Third Proportional to 37,684 and 55,372

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684 : 55,372 = 55,372 : x
2. Step 2: Convert to fraction form
   37,684/55,372 = 55,372/x
3. Step 3: Cross multiply
   37,684x = 55,372 × 55,372
4. Step 4: Simplify right side
   37,684x = 3,066,058,384
5. Step 5: Solve for x
   x = 3,066,058,384/37,684
6. Step 6: Final answer
   x = 81,362.34