Finding the Third Proportional to 36,225 and 55,413

Step by Step Solution

1. Step 1: Write the proportion equation
   36,225 : 55,413 = 55,413 : x
2. Step 2: Convert to fraction form
   36,225/55,413 = 55,413/x
3. Step 3: Cross multiply
   36,225x = 55,413 × 55,413
4. Step 4: Simplify right side
   36,225x = 3,070,600,569
5. Step 5: Solve for x
   x = 3,070,600,569/36,225
6. Step 6: Final answer
   x = 84,764.68