Finding the Third Proportional to 36,196 and 55,372

Step by Step Solution

1. Step 1: Write the proportion equation
   36,196 : 55,372 = 55,372 : x
2. Step 2: Convert to fraction form
   36,196/55,372 = 55,372/x
3. Step 3: Cross multiply
   36,196x = 55,372 × 55,372
4. Step 4: Simplify right side
   36,196x = 3,066,058,384
5. Step 5: Solve for x
   x = 3,066,058,384/36,196
6. Step 6: Final answer
   x = 84,707.11