Finding the Third Proportional to 1,406.63 and 3,256.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.63 : 3,256.31 = 3,256.31 : x
2. Step 2: Convert to fraction form
   1,406.63/3,256.31 = 3,256.31/x
3. Step 3: Cross multiply
   1,406.63x = 3,256.31 × 3,256.31
4. Step 4: Simplify right side
   1,406.63x = 10,603,571.10
5. Step 5: Solve for x
   x = 10,603,571.10/1,406.63
6. Step 6: Final answer
   x = 7,538.31