Finding the Third Proportional to 5,681.81 and 8,847.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,681.81 : 8,847.56 = 8,847.56 : x
2. Step 2: Convert to fraction form
   5,681.81/8,847.56 = 8,847.56/x
3. Step 3: Cross multiply
   5,681.81x = 8,847.56 × 8,847.56
4. Step 4: Simplify right side
   5,681.81x = 78,279,362.19
5. Step 5: Solve for x
   x = 78,279,362.19/5,681.81
6. Step 6: Final answer
   x = 13,777.18