Finding the Third Proportional to 27,049 and 42,635

Step by Step Solution

1. Step 1: Write the proportion equation
   27,049 : 42,635 = 42,635 : x
2. Step 2: Convert to fraction form
   27,049/42,635 = 42,635/x
3. Step 3: Cross multiply
   27,049x = 42,635 × 42,635
4. Step 4: Simplify right side
   27,049x = 1,817,743,225
5. Step 5: Solve for x
   x = 1,817,743,225/27,049
6. Step 6: Final answer
   x = 67,201.86