Finding the Third Proportional to 9,677.81 and 14,794.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.81 : 14,794.31 = 14,794.31 : x
2. Step 2: Convert to fraction form
   9,677.81/14,794.31 = 14,794.31/x
3. Step 3: Cross multiply
   9,677.81x = 14,794.31 × 14,794.31
4. Step 4: Simplify right side
   9,677.81x = 218,871,682.35
5. Step 5: Solve for x
   x = 218,871,682.35/9,677.81
6. Step 6: Final answer
   x = 22,615.82