Finding the Third Proportional to 5,641.50 and 8,594.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.50 : 8,594.63 = 8,594.63 : x
2. Step 2: Convert to fraction form
   5,641.50/8,594.63 = 8,594.63/x
3. Step 3: Cross multiply
   5,641.50x = 8,594.63 × 8,594.63
4. Step 4: Simplify right side
   5,641.50x = 73,867,578.89
5. Step 5: Solve for x
   x = 73,867,578.89/5,641.50
6. Step 6: Final answer
   x = 13,093.61