Finding the Third Proportional to 40,978 and 58,035

Step by Step Solution

1. Step 1: Write the proportion equation
   40,978 : 58,035 = 58,035 : x
2. Step 2: Convert to fraction form
   40,978/58,035 = 58,035/x
3. Step 3: Cross multiply
   40,978x = 58,035 × 58,035
4. Step 4: Simplify right side
   40,978x = 3,368,061,225
5. Step 5: Solve for x
   x = 3,368,061,225/40,978
6. Step 6: Final answer
   x = 82,191.94