Finding the Third Proportional to 41,812 and 61,380

Step by Step Solution

1. Step 1: Write the proportion equation
   41,812 : 61,380 = 61,380 : x
2. Step 2: Convert to fraction form
   41,812/61,380 = 61,380/x
3. Step 3: Cross multiply
   41,812x = 61,380 × 61,380
4. Step 4: Simplify right side
   41,812x = 3,767,504,400
5. Step 5: Solve for x
   x = 3,767,504,400/41,812
6. Step 6: Final answer
   x = 90,105.82