Finding the Third Proportional to 9,144 and 19,672.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144 : 19,672.31 = 19,672.31 : x
2. Step 2: Convert to fraction form
   9,144/19,672.31 = 19,672.31/x
3. Step 3: Cross multiply
   9,144x = 19,672.31 × 19,672.31
4. Step 4: Simplify right side
   9,144x = 386,999,879.10
5. Step 5: Solve for x
   x = 386,999,879.10/9,144
6. Step 6: Final answer
   x = 42,322.82