Finding the Third Proportional to 27,075 and 42,084

Step by Step Solution

1. Step 1: Write the proportion equation
   27,075 : 42,084 = 42,084 : x
2. Step 2: Convert to fraction form
   27,075/42,084 = 42,084/x
3. Step 3: Cross multiply
   27,075x = 42,084 × 42,084
4. Step 4: Simplify right side
   27,075x = 1,771,063,056
5. Step 5: Solve for x
   x = 1,771,063,056/27,075
6. Step 6: Final answer
   x = 65,413.22