Finding the Third Proportional to 13,177.69 and 19,931.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,177.69 : 19,931.06 = 19,931.06 : x
2. Step 2: Convert to fraction form
   13,177.69/19,931.06 = 19,931.06/x
3. Step 3: Cross multiply
   13,177.69x = 19,931.06 × 19,931.06
4. Step 4: Simplify right side
   13,177.69x = 397,247,252.38
5. Step 5: Solve for x
   x = 397,247,252.38/13,177.69
6. Step 6: Final answer
   x = 30,145.44