Finding the Third Proportional to 1,535.63 and 3,162.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.63 : 3,162.38 = 3,162.38 : x
2. Step 2: Convert to fraction form
   1,535.63/3,162.38 = 3,162.38/x
3. Step 3: Cross multiply
   1,535.63x = 3,162.38 × 3,162.38
4. Step 4: Simplify right side
   1,535.63x = 10,000,615.64
5. Step 5: Solve for x
   x = 10,000,615.64/1,535.63
6. Step 6: Final answer
   x = 6,512.41