Finding the Third Proportional to 36,954 and 55,374

Step by Step Solution

1. Step 1: Write the proportion equation
   36,954 : 55,374 = 55,374 : x
2. Step 2: Convert to fraction form
   36,954/55,374 = 55,374/x
3. Step 3: Cross multiply
   36,954x = 55,374 × 55,374
4. Step 4: Simplify right side
   36,954x = 3,066,279,876
5. Step 5: Solve for x
   x = 3,066,279,876/36,954
6. Step 6: Final answer
   x = 82,975.59