Finding the Third Proportional to 27,638 and 42,506

Step by Step Solution

1. Step 1: Write the proportion equation
   27,638 : 42,506 = 42,506 : x
2. Step 2: Convert to fraction form
   27,638/42,506 = 42,506/x
3. Step 3: Cross multiply
   27,638x = 42,506 × 42,506
4. Step 4: Simplify right side
   27,638x = 1,806,760,036
5. Step 5: Solve for x
   x = 1,806,760,036/27,638
6. Step 6: Final answer
   x = 65,372.31