Finding the Third Proportional to 27,242 and 42,806

Step by Step Solution

1. Step 1: Write the proportion equation
   27,242 : 42,806 = 42,806 : x
2. Step 2: Convert to fraction form
   27,242/42,806 = 42,806/x
3. Step 3: Cross multiply
   27,242x = 42,806 × 42,806
4. Step 4: Simplify right side
   27,242x = 1,832,353,636
5. Step 5: Solve for x
   x = 1,832,353,636/27,242
6. Step 6: Final answer
   x = 67,262.08