Finding the Third Proportional to 10,722.38 and 17,222.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,722.38 : 17,222.63 = 17,222.63 : x
2. Step 2: Convert to fraction form
   10,722.38/17,222.63 = 17,222.63/x
3. Step 3: Cross multiply
   10,722.38x = 17,222.63 × 17,222.63
4. Step 4: Simplify right side
   10,722.38x = 296,618,811.89
5. Step 5: Solve for x
   x = 296,618,811.89/10,722.38
6. Step 6: Final answer
   x = 27,663.54