Finding the Third Proportional to 49,734 and 74,826

Step by Step Solution

1. Step 1: Write the proportion equation
   49,734 : 74,826 = 74,826 : x
2. Step 2: Convert to fraction form
   49,734/74,826 = 74,826/x
3. Step 3: Cross multiply
   49,734x = 74,826 × 74,826
4. Step 4: Simplify right side
   49,734x = 5,598,930,276
5. Step 5: Solve for x
   x = 5,598,930,276/49,734
6. Step 6: Final answer
   x = 112,577.52