Finding the Third Proportional to 42,578 and 65,355

Step by Step Solution

1. Step 1: Write the proportion equation
   42,578 : 65,355 = 65,355 : x
2. Step 2: Convert to fraction form
   42,578/65,355 = 65,355/x
3. Step 3: Cross multiply
   42,578x = 65,355 × 65,355
4. Step 4: Simplify right side
   42,578x = 4,271,276,025
5. Step 5: Solve for x
   x = 4,271,276,025/42,578
6. Step 6: Final answer
   x = 100,316.50