Finding the Third Proportional to 20,938 and 45,576

Step by Step Solution

1. Step 1: Write the proportion equation
   20,938 : 45,576 = 45,576 : x
2. Step 2: Convert to fraction form
   20,938/45,576 = 45,576/x
3. Step 3: Cross multiply
   20,938x = 45,576 × 45,576
4. Step 4: Simplify right side
   20,938x = 2,077,171,776
5. Step 5: Solve for x
   x = 2,077,171,776/20,938
6. Step 6: Final answer
   x = 99,205.84