Finding the Third Proportional to 40,978 and 61,205

Step by Step Solution

1. Step 1: Write the proportion equation
   40,978 : 61,205 = 61,205 : x
2. Step 2: Convert to fraction form
   40,978/61,205 = 61,205/x
3. Step 3: Cross multiply
   40,978x = 61,205 × 61,205
4. Step 4: Simplify right side
   40,978x = 3,746,052,025
5. Step 5: Solve for x
   x = 3,746,052,025/40,978
6. Step 6: Final answer
   x = 91,416.18