Finding the Third Proportional to 27,002 and 42,273

Step by Step Solution

1. Step 1: Write the proportion equation
   27,002 : 42,273 = 42,273 : x
2. Step 2: Convert to fraction form
   27,002/42,273 = 42,273/x
3. Step 3: Cross multiply
   27,002x = 42,273 × 42,273
4. Step 4: Simplify right side
   27,002x = 1,787,006,529
5. Step 5: Solve for x
   x = 1,787,006,529/27,002
6. Step 6: Final answer
   x = 66,180.52