Finding the Third Proportional to 40,078 and 58,983

Step by Step Solution

1. Step 1: Write the proportion equation
   40,078 : 58,983 = 58,983 : x
2. Step 2: Convert to fraction form
   40,078/58,983 = 58,983/x
3. Step 3: Cross multiply
   40,078x = 58,983 × 58,983
4. Step 4: Simplify right side
   40,078x = 3,478,994,289
5. Step 5: Solve for x
   x = 3,478,994,289/40,078
6. Step 6: Final answer
   x = 86,805.59