Finding the Third Proportional to 10,406.50 and 22,271

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.50 : 22,271 = 22,271 : x
2. Step 2: Convert to fraction form
   10,406.50/22,271 = 22,271/x
3. Step 3: Cross multiply
   10,406.50x = 22,271 × 22,271
4. Step 4: Simplify right side
   10,406.50x = 495,997,441
5. Step 5: Solve for x
   x = 495,997,441/10,406.50
6. Step 6: Final answer
   x = 47,662.27