Finding the Third Proportional to 20,538 and 30,075.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,538 : 30,075.75 = 30,075.75 : x
2. Step 2: Convert to fraction form
   20,538/30,075.75 = 30,075.75/x
3. Step 3: Cross multiply
   20,538x = 30,075.75 × 30,075.75
4. Step 4: Simplify right side
   20,538x = 904,550,738.06
5. Step 5: Solve for x
   x = 904,550,738.06/20,538
6. Step 6: Final answer
   x = 44,042.79