Finding the Third Proportional to 2,932 and 4,546

Step by Step Solution

1. Step 1: Write the proportion equation
   2,932 : 4,546 = 4,546 : x
2. Step 2: Convert to fraction form
   2,932/4,546 = 4,546/x
3. Step 3: Cross multiply
   2,932x = 4,546 × 4,546
4. Step 4: Simplify right side
   2,932x = 20,666,116
5. Step 5: Solve for x
   x = 20,666,116/2,932
6. Step 6: Final answer
   x = 7,048.47