Finding the Third Proportional to 10,783.13 and 17,146.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783.13 : 17,146.69 = 17,146.69 : x
2. Step 2: Convert to fraction form
   10,783.13/17,146.69 = 17,146.69/x
3. Step 3: Cross multiply
   10,783.13x = 17,146.69 × 17,146.69
4. Step 4: Simplify right side
   10,783.13x = 294,008,892.22
5. Step 5: Solve for x
   x = 294,008,892.22/10,783.13
6. Step 6: Final answer
   x = 27,265.65