Finding the Third Proportional to 2,653.31 and 4,064.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.31 : 4,064.63 = 4,064.63 : x
2. Step 2: Convert to fraction form
   2,653.31/4,064.63 = 4,064.63/x
3. Step 3: Cross multiply
   2,653.31x = 4,064.63 × 4,064.63
4. Step 4: Simplify right side
   2,653.31x = 16,521,176.39
5. Step 5: Solve for x
   x = 16,521,176.39/2,653.31
6. Step 6: Final answer
   x = 6,226.62