Finding the Third Proportional to 21,678 and 45,075

Step by Step Solution

1. Step 1: Write the proportion equation
   21,678 : 45,075 = 45,075 : x
2. Step 2: Convert to fraction form
   21,678/45,075 = 45,075/x
3. Step 3: Cross multiply
   21,678x = 45,075 × 45,075
4. Step 4: Simplify right side
   21,678x = 2,031,755,625
5. Step 5: Solve for x
   x = 2,031,755,625/21,678
6. Step 6: Final answer
   x = 93,724.31