Finding the Third Proportional to 7,681.50 and 12,213.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,681.50 : 12,213.56 = 12,213.56 : x
2. Step 2: Convert to fraction form
   7,681.50/12,213.56 = 12,213.56/x
3. Step 3: Cross multiply
   7,681.50x = 12,213.56 × 12,213.56
4. Step 4: Simplify right side
   7,681.50x = 149,171,108.94
5. Step 5: Solve for x
   x = 149,171,108.94/7,681.50
6. Step 6: Final answer
   x = 19,419.53