Finding the Third Proportional to 42,180 and 65,826

Step by Step Solution

1. Step 1: Write the proportion equation
   42,180 : 65,826 = 65,826 : x
2. Step 2: Convert to fraction form
   42,180/65,826 = 65,826/x
3. Step 3: Cross multiply
   42,180x = 65,826 × 65,826
4. Step 4: Simplify right side
   42,180x = 4,333,062,276
5. Step 5: Solve for x
   x = 4,333,062,276/42,180
6. Step 6: Final answer
   x = 102,727.89