Finding the Third Proportional to 17,946 and 27,747

Step by Step Solution

1. Step 1: Write the proportion equation
   17,946 : 27,747 = 27,747 : x
2. Step 2: Convert to fraction form
   17,946/27,747 = 27,747/x
3. Step 3: Cross multiply
   17,946x = 27,747 × 27,747
4. Step 4: Simplify right side
   17,946x = 769,896,009
5. Step 5: Solve for x
   x = 769,896,009/17,946
6. Step 6: Final answer
   x = 42,900.70