Finding the Third Proportional to 35,744 and 52,546

Step by Step Solution

1. Step 1: Write the proportion equation
   35,744 : 52,546 = 52,546 : x
2. Step 2: Convert to fraction form
   35,744/52,546 = 52,546/x
3. Step 3: Cross multiply
   35,744x = 52,546 × 52,546
4. Step 4: Simplify right side
   35,744x = 2,761,082,116
5. Step 5: Solve for x
   x = 2,761,082,116/35,744
6. Step 6: Final answer
   x = 77,246.03