Finding the Third Proportional to 40,960 and 61,158

Step by Step Solution

1. Step 1: Write the proportion equation
   40,960 : 61,158 = 61,158 : x
2. Step 2: Convert to fraction form
   40,960/61,158 = 61,158/x
3. Step 3: Cross multiply
   40,960x = 61,158 × 61,158
4. Step 4: Simplify right side
   40,960x = 3,740,300,964
5. Step 5: Solve for x
   x = 3,740,300,964/40,960
6. Step 6: Final answer
   x = 91,315.94