Finding the Third Proportional to 27,569 and 42,083

Step by Step Solution

1. Step 1: Write the proportion equation
   27,569 : 42,083 = 42,083 : x
2. Step 2: Convert to fraction form
   27,569/42,083 = 42,083/x
3. Step 3: Cross multiply
   27,569x = 42,083 × 42,083
4. Step 4: Simplify right side
   27,569x = 1,770,978,889
5. Step 5: Solve for x
   x = 1,770,978,889/27,569
6. Step 6: Final answer
   x = 64,238.05