Finding the Third Proportional to 35,727 and 54,826

Step by Step Solution

1. Step 1: Write the proportion equation
   35,727 : 54,826 = 54,826 : x
2. Step 2: Convert to fraction form
   35,727/54,826 = 54,826/x
3. Step 3: Cross multiply
   35,727x = 54,826 × 54,826
4. Step 4: Simplify right side
   35,727x = 3,005,890,276
5. Step 5: Solve for x
   x = 3,005,890,276/35,727
6. Step 6: Final answer
   x = 84,134.98