Finding the Third Proportional to 10,783.13 and 14,182.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.13 : 14,182.59 = 14,182.59 : x
2. Step 2: Convert to fraction form
   10,783.13/14,182.59 = 14,182.59/x
3. Step 3: Cross multiply
   10,783.13x = 14,182.59 × 14,182.59
4. Step 4: Simplify right side
   10,783.13x = 201,145,965.48
5. Step 5: Solve for x
   x = 201,145,965.48/10,783.13
6. Step 6: Final answer
   x = 18,653.77