Finding the Third Proportional to 37,674 and 55,377

Step by Step Solution

1. Step 1: Write the proportion equation
   37,674 : 55,377 = 55,377 : x
2. Step 2: Convert to fraction form
   37,674/55,377 = 55,377/x
3. Step 3: Cross multiply
   37,674x = 55,377 × 55,377
4. Step 4: Simplify right side
   37,674x = 3,066,612,129
5. Step 5: Solve for x
   x = 3,066,612,129/37,674
6. Step 6: Final answer
   x = 81,398.63