Finding the Third Proportional to 10,972.97 and 17,659.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,972.97 : 17,659.27 = 17,659.27 : x
2. Step 2: Convert to fraction form
   10,972.97/17,659.27 = 17,659.27/x
3. Step 3: Cross multiply
   10,972.97x = 17,659.27 × 17,659.27
4. Step 4: Simplify right side
   10,972.97x = 311,849,662.41
5. Step 5: Solve for x
   x = 311,849,662.41/10,972.97
6. Step 6: Final answer
   x = 28,419.81