Finding the Third Proportional to 10,176 and 21,558

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 21,558 = 21,558 : x
2. Step 2: Convert to fraction form
   10,176/21,558 = 21,558/x
3. Step 3: Cross multiply
   10,176x = 21,558 × 21,558
4. Step 4: Simplify right side
   10,176x = 464,747,364
5. Step 5: Solve for x
   x = 464,747,364/10,176
6. Step 6: Final answer
   x = 45,670.93