Finding the Third Proportional to 2,641.63 and 4,088.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.63 : 4,088.25 = 4,088.25 : x
2. Step 2: Convert to fraction form
   2,641.63/4,088.25 = 4,088.25/x
3. Step 3: Cross multiply
   2,641.63x = 4,088.25 × 4,088.25
4. Step 4: Simplify right side
   2,641.63x = 16,713,788.06
5. Step 5: Solve for x
   x = 16,713,788.06/2,641.63
6. Step 6: Final answer
   x = 6,327.09