Finding the Third Proportional to 19,819.69 and 31,005.28

Step by Step Solution

1. Step 1: Write the proportion equation
   19,819.69 : 31,005.28 = 31,005.28 : x
2. Step 2: Convert to fraction form
   19,819.69/31,005.28 = 31,005.28/x
3. Step 3: Cross multiply
   19,819.69x = 31,005.28 × 31,005.28
4. Step 4: Simplify right side
   19,819.69x = 961,327,465.39
5. Step 5: Solve for x
   x = 961,327,465.39/19,819.69
6. Step 6: Final answer
   x = 48,503.66