Finding the Third Proportional to 41,461 and 56,298

Step by Step Solution

1. Step 1: Write the proportion equation
   41,461 : 56,298 = 56,298 : x
2. Step 2: Convert to fraction form
   41,461/56,298 = 56,298/x
3. Step 3: Cross multiply
   41,461x = 56,298 × 56,298
4. Step 4: Simplify right side
   41,461x = 3,169,464,804
5. Step 5: Solve for x
   x = 3,169,464,804/41,461
6. Step 6: Final answer
   x = 76,444.49