Finding the Third Proportional to 27,639 and 42,504

Step by Step Solution

1. Step 1: Write the proportion equation
   27,639 : 42,504 = 42,504 : x
2. Step 2: Convert to fraction form
   27,639/42,504 = 42,504/x
3. Step 3: Cross multiply
   27,639x = 42,504 × 42,504
4. Step 4: Simplify right side
   27,639x = 1,806,590,016
5. Step 5: Solve for x
   x = 1,806,590,016/27,639
6. Step 6: Final answer
   x = 65,363.80