Finding the Third Proportional to 27,410 and 41,004

Step by Step Solution

1. Step 1: Write the proportion equation
   27,410 : 41,004 = 41,004 : x
2. Step 2: Convert to fraction form
   27,410/41,004 = 41,004/x
3. Step 3: Cross multiply
   27,410x = 41,004 × 41,004
4. Step 4: Simplify right side
   27,410x = 1,681,328,016
5. Step 5: Solve for x
   x = 1,681,328,016/27,410
6. Step 6: Final answer
   x = 61,339.95