Finding the Third Proportional to 27,284 and 42,392

Step by Step Solution

1. Step 1: Write the proportion equation
   27,284 : 42,392 = 42,392 : x
2. Step 2: Convert to fraction form
   27,284/42,392 = 42,392/x
3. Step 3: Cross multiply
   27,284x = 42,392 × 42,392
4. Step 4: Simplify right side
   27,284x = 1,797,081,664
5. Step 5: Solve for x
   x = 1,797,081,664/27,284
6. Step 6: Final answer
   x = 65,865.77