Finding the Third Proportional to 37,676 and 55,380

Step by Step Solution

1. Step 1: Write the proportion equation
   37,676 : 55,380 = 55,380 : x
2. Step 2: Convert to fraction form
   37,676/55,380 = 55,380/x
3. Step 3: Cross multiply
   37,676x = 55,380 × 55,380
4. Step 4: Simplify right side
   37,676x = 3,066,944,400
5. Step 5: Solve for x
   x = 3,066,944,400/37,676
6. Step 6: Final answer
   x = 81,403.13