Finding the Third Proportional to 10,078.69 and 22,075.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.69 : 22,075.31 = 22,075.31 : x
2. Step 2: Convert to fraction form
   10,078.69/22,075.31 = 22,075.31/x
3. Step 3: Cross multiply
   10,078.69x = 22,075.31 × 22,075.31
4. Step 4: Simplify right side
   10,078.69x = 487,319,421.97
5. Step 5: Solve for x
   x = 487,319,421.97/10,078.69
6. Step 6: Final answer
   x = 48,351.48