Finding the Third Proportional to 1,446.61 and 3,193.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.61 : 3,193.17 = 3,193.17 : x
2. Step 2: Convert to fraction form
   1,446.61/3,193.17 = 3,193.17/x
3. Step 3: Cross multiply
   1,446.61x = 3,193.17 × 3,193.17
4. Step 4: Simplify right side
   1,446.61x = 10,196,346.62
5. Step 5: Solve for x
   x = 10,196,346.62/1,446.61
6. Step 6: Final answer
   x = 7,048.45