Finding the Third Proportional to 10,783.50 and 14,493

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.50 : 14,493 = 14,493 : x
2. Step 2: Convert to fraction form
   10,783.50/14,493 = 14,493/x
3. Step 3: Cross multiply
   10,783.50x = 14,493 × 14,493
4. Step 4: Simplify right side
   10,783.50x = 210,047,049
5. Step 5: Solve for x
   x = 210,047,049/10,783.50
6. Step 6: Final answer
   x = 19,478.56