Finding the Third Proportional to 42,494 and 65,571

Step by Step Solution

1. Step 1: Write the proportion equation
   42,494 : 65,571 = 65,571 : x
2. Step 2: Convert to fraction form
   42,494/65,571 = 65,571/x
3. Step 3: Cross multiply
   42,494x = 65,571 × 65,571
4. Step 4: Simplify right side
   42,494x = 4,299,556,041
5. Step 5: Solve for x
   x = 4,299,556,041/42,494
6. Step 6: Final answer
   x = 101,180.31