Finding the Third Proportional to 10,922 and 17,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,922 : 17,321.50 = 17,321.50 : x
2. Step 2: Convert to fraction form
   10,922/17,321.50 = 17,321.50/x
3. Step 3: Cross multiply
   10,922x = 17,321.50 × 17,321.50
4. Step 4: Simplify right side
   10,922x = 300,034,362.25
5. Step 5: Solve for x
   x = 300,034,362.25/10,922
6. Step 6: Final answer
   x = 27,470.64