Finding the Third Proportional to 1,501.63 and 3,286.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.63 : 3,286.06 = 3,286.06 : x
2. Step 2: Convert to fraction form
   1,501.63/3,286.06 = 3,286.06/x
3. Step 3: Cross multiply
   1,501.63x = 3,286.06 × 3,286.06
4. Step 4: Simplify right side
   1,501.63x = 10,798,206.75
5. Step 5: Solve for x
   x = 10,798,206.75/1,501.63
6. Step 6: Final answer
   x = 7,191.01