Finding the Third Proportional to 19,176.75 and 31,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,176.75 : 31,691.25 = 31,691.25 : x
2. Step 2: Convert to fraction form
   19,176.75/31,691.25 = 31,691.25/x
3. Step 3: Cross multiply
   19,176.75x = 31,691.25 × 31,691.25
4. Step 4: Simplify right side
   19,176.75x = 1,004,335,326.56
5. Step 5: Solve for x
   x = 1,004,335,326.56/19,176.75
6. Step 6: Final answer
   x = 52,372.55