Finding the Third Proportional to 5,641.88 and 8,771.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.88 : 8,771.06 = 8,771.06 : x
2. Step 2: Convert to fraction form
   5,641.88/8,771.06 = 8,771.06/x
3. Step 3: Cross multiply
   5,641.88x = 8,771.06 × 8,771.06
4. Step 4: Simplify right side
   5,641.88x = 76,931,537.38
5. Step 5: Solve for x
   x = 76,931,537.38/5,641.88
6. Step 6: Final answer
   x = 13,635.81