Finding the Third Proportional to 49,857 and 74,004

Step by Step Solution

1. Step 1: Write the proportion equation
   49,857 : 74,004 = 74,004 : x
2. Step 2: Convert to fraction form
   49,857/74,004 = 74,004/x
3. Step 3: Cross multiply
   49,857x = 74,004 × 74,004
4. Step 4: Simplify right side
   49,857x = 5,476,592,016
5. Step 5: Solve for x
   x = 5,476,592,016/49,857
6. Step 6: Final answer
   x = 109,846.00