Finding the Third Proportional to 12,322.13 and 19,308.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,322.13 : 19,308.38 = 19,308.38 : x
2. Step 2: Convert to fraction form
   12,322.13/19,308.38 = 19,308.38/x
3. Step 3: Cross multiply
   12,322.13x = 19,308.38 × 19,308.38
4. Step 4: Simplify right side
   12,322.13x = 372,813,345.14
5. Step 5: Solve for x
   x = 372,813,345.14/12,322.13
6. Step 6: Final answer
   x = 30,255.60