Finding the Third Proportional to 27,072 and 42,478

Step by Step Solution

1. Step 1: Write the proportion equation
   27,072 : 42,478 = 42,478 : x
2. Step 2: Convert to fraction form
   27,072/42,478 = 42,478/x
3. Step 3: Cross multiply
   27,072x = 42,478 × 42,478
4. Step 4: Simplify right side
   27,072x = 1,804,380,484
5. Step 5: Solve for x
   x = 1,804,380,484/27,072
6. Step 6: Final answer
   x = 66,651.17