Finding the Third Proportional to 42,820 and 56,826

Step by Step Solution

1. Step 1: Write the proportion equation
   42,820 : 56,826 = 56,826 : x
2. Step 2: Convert to fraction form
   42,820/56,826 = 56,826/x
3. Step 3: Cross multiply
   42,820x = 56,826 × 56,826
4. Step 4: Simplify right side
   42,820x = 3,229,194,276
5. Step 5: Solve for x
   x = 3,229,194,276/42,820
6. Step 6: Final answer
   x = 75,413.22