Finding the Third Proportional to 1,460.06 and 3,204.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.06 : 3,204.94 = 3,204.94 : x
2. Step 2: Convert to fraction form
   1,460.06/3,204.94 = 3,204.94/x
3. Step 3: Cross multiply
   1,460.06x = 3,204.94 × 3,204.94
4. Step 4: Simplify right side
   1,460.06x = 10,271,624.38
5. Step 5: Solve for x
   x = 10,271,624.38/1,460.06
6. Step 6: Final answer
   x = 7,035.06