Finding the Third Proportional to 36,822 and 58,398

Step by Step Solution

1. Step 1: Write the proportion equation
   36,822 : 58,398 = 58,398 : x
2. Step 2: Convert to fraction form
   36,822/58,398 = 58,398/x
3. Step 3: Cross multiply
   36,822x = 58,398 × 58,398
4. Step 4: Simplify right side
   36,822x = 3,410,326,404
5. Step 5: Solve for x
   x = 3,410,326,404/36,822
6. Step 6: Final answer
   x = 92,616.54