Finding the Third Proportional to 19,738.69 and 26,590.78

Step by Step Solution

1. Step 1: Write the proportion equation
   19,738.69 : 26,590.78 = 26,590.78 : x
2. Step 2: Convert to fraction form
   19,738.69/26,590.78 = 26,590.78/x
3. Step 3: Cross multiply
   19,738.69x = 26,590.78 × 26,590.78
4. Step 4: Simplify right side
   19,738.69x = 707,069,647.49
5. Step 5: Solve for x
   x = 707,069,647.49/19,738.69
6. Step 6: Final answer
   x = 35,821.51