Finding the Third Proportional to 36,839 and 58,422

Step by Step Solution

1. Step 1: Write the proportion equation
   36,839 : 58,422 = 58,422 : x
2. Step 2: Convert to fraction form
   36,839/58,422 = 58,422/x
3. Step 3: Cross multiply
   36,839x = 58,422 × 58,422
4. Step 4: Simplify right side
   36,839x = 3,413,130,084
5. Step 5: Solve for x
   x = 3,413,130,084/36,839
6. Step 6: Final answer
   x = 92,649.91