Finding the Third Proportional to 37,785 and 55,525

Step by Step Solution

1. Step 1: Write the proportion equation
   37,785 : 55,525 = 55,525 : x
2. Step 2: Convert to fraction form
   37,785/55,525 = 55,525/x
3. Step 3: Cross multiply
   37,785x = 55,525 × 55,525
4. Step 4: Simplify right side
   37,785x = 3,083,025,625
5. Step 5: Solve for x
   x = 3,083,025,625/37,785
6. Step 6: Final answer
   x = 81,593.90