Finding the Third Proportional to 37,328 and 58,265

Step by Step Solution

1. Step 1: Write the proportion equation
   37,328 : 58,265 = 58,265 : x
2. Step 2: Convert to fraction form
   37,328/58,265 = 58,265/x
3. Step 3: Cross multiply
   37,328x = 58,265 × 58,265
4. Step 4: Simplify right side
   37,328x = 3,394,810,225
5. Step 5: Solve for x
   x = 3,394,810,225/37,328
6. Step 6: Final answer
   x = 90,945.41