Finding the Third Proportional to 17,763 and 37,227

Step by Step Solution

1. Step 1: Write the proportion equation
   17,763 : 37,227 = 37,227 : x
2. Step 2: Convert to fraction form
   17,763/37,227 = 37,227/x
3. Step 3: Cross multiply
   17,763x = 37,227 × 37,227
4. Step 4: Simplify right side
   17,763x = 1,385,849,529
5. Step 5: Solve for x
   x = 1,385,849,529/17,763
6. Step 6: Final answer
   x = 78,018.89