Finding the Third Proportional to 1,484.38 and 3,206.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,484.38 : 3,206.63 = 3,206.63 : x
2. Step 2: Convert to fraction form
   1,484.38/3,206.63 = 3,206.63/x
3. Step 3: Cross multiply
   1,484.38x = 3,206.63 × 3,206.63
4. Step 4: Simplify right side
   1,484.38x = 10,282,443.89
5. Step 5: Solve for x
   x = 10,282,443.89/1,484.38
6. Step 6: Final answer
   x = 6,927.12