Finding the Third Proportional to 10,783.13 and 14,491.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.13 : 14,491.41 = 14,491.41 : x
2. Step 2: Convert to fraction form
   10,783.13/14,491.41 = 14,491.41/x
3. Step 3: Cross multiply
   10,783.13x = 14,491.41 × 14,491.41
4. Step 4: Simplify right side
   10,783.13x = 210,000,855.10
5. Step 5: Solve for x
   x = 210,000,855.10/10,783.13
6. Step 6: Final answer
   x = 19,474.95