Finding the Third Proportional to 10,822.50 and 17,307

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 17,307 = 17,307 : x
2. Step 2: Convert to fraction form
   10,822.50/17,307 = 17,307/x
3. Step 3: Cross multiply
   10,822.50x = 17,307 × 17,307
4. Step 4: Simplify right side
   10,822.50x = 299,532,249
5. Step 5: Solve for x
   x = 299,532,249/10,822.50
6. Step 6: Final answer
   x = 27,676.81