Finding the Third Proportional to 40,680 and 61,456

Step by Step Solution

1. Step 1: Write the proportion equation
   40,680 : 61,456 = 61,456 : x
2. Step 2: Convert to fraction form
   40,680/61,456 = 61,456/x
3. Step 3: Cross multiply
   40,680x = 61,456 × 61,456
4. Step 4: Simplify right side
   40,680x = 3,776,839,936
5. Step 5: Solve for x
   x = 3,776,839,936/40,680
6. Step 6: Final answer
   x = 92,842.67