Finding the Third Proportional to 10,922.63 and 17,322.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,922.63 : 17,322.38 = 17,322.38 : x
2. Step 2: Convert to fraction form
   10,922.63/17,322.38 = 17,322.38/x
3. Step 3: Cross multiply
   10,922.63x = 17,322.38 × 17,322.38
4. Step 4: Simplify right side
   10,922.63x = 300,064,675.64
5. Step 5: Solve for x
   x = 300,064,675.64/10,922.63
6. Step 6: Final answer
   x = 27,471.85