Finding the Third Proportional to 27,410 and 41,116

Step by Step Solution

1. Step 1: Write the proportion equation
   27,410 : 41,116 = 41,116 : x
2. Step 2: Convert to fraction form
   27,410/41,116 = 41,116/x
3. Step 3: Cross multiply
   27,410x = 41,116 × 41,116
4. Step 4: Simplify right side
   27,410x = 1,690,525,456
5. Step 5: Solve for x
   x = 1,690,525,456/27,410
6. Step 6: Final answer
   x = 61,675.50