Finding the Third Proportional to 1,407.69 and 3,262.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.69 : 3,262.94 = 3,262.94 : x
2. Step 2: Convert to fraction form
   1,407.69/3,262.94 = 3,262.94/x
3. Step 3: Cross multiply
   1,407.69x = 3,262.94 × 3,262.94
4. Step 4: Simplify right side
   1,407.69x = 10,646,773.87
5. Step 5: Solve for x
   x = 10,646,773.87/1,407.69
6. Step 6: Final answer
   x = 7,563.29