Finding the Third Proportional to 3,026.81 and 6,463.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,026.81 : 6,463.69 = 6,463.69 : x
2. Step 2: Convert to fraction form
   3,026.81/6,463.69 = 6,463.69/x
3. Step 3: Cross multiply
   3,026.81x = 6,463.69 × 6,463.69
4. Step 4: Simplify right side
   3,026.81x = 41,779,256.10
5. Step 5: Solve for x
   x = 41,779,256.10/3,026.81
6. Step 6: Final answer
   x = 13,803.05