Finding the Third Proportional to 27,674 and 42,596

Step by Step Solution

1. Step 1: Write the proportion equation
   27,674 : 42,596 = 42,596 : x
2. Step 2: Convert to fraction form
   27,674/42,596 = 42,596/x
3. Step 3: Cross multiply
   27,674x = 42,596 × 42,596
4. Step 4: Simplify right side
   27,674x = 1,814,419,216
5. Step 5: Solve for x
   x = 1,814,419,216/27,674
6. Step 6: Final answer
   x = 65,564.04