Finding the Third Proportional to 37,377 and 57,233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,377 : 57,233.25 = 57,233.25 : x
2. Step 2: Convert to fraction form
   37,377/57,233.25 = 57,233.25/x
3. Step 3: Cross multiply
   37,377x = 57,233.25 × 57,233.25
4. Step 4: Simplify right side
   37,377x = 3,275,644,905.56
5. Step 5: Solve for x
   x = 3,275,644,905.56/37,377
6. Step 6: Final answer
   x = 87,637.98