Finding the Third Proportional to 36,976 and 55,446

Step by Step Solution

1. Step 1: Write the proportion equation
   36,976 : 55,446 = 55,446 : x
2. Step 2: Convert to fraction form
   36,976/55,446 = 55,446/x
3. Step 3: Cross multiply
   36,976x = 55,446 × 55,446
4. Step 4: Simplify right side
   36,976x = 3,074,258,916
5. Step 5: Solve for x
   x = 3,074,258,916/36,976
6. Step 6: Final answer
   x = 83,142.01