Finding the Third Proportional to 10,217 and 22,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,217 : 22,271.50 = 22,271.50 : x
2. Step 2: Convert to fraction form
   10,217/22,271.50 = 22,271.50/x
3. Step 3: Cross multiply
   10,217x = 22,271.50 × 22,271.50
4. Step 4: Simplify right side
   10,217x = 496,019,712.25
5. Step 5: Solve for x
   x = 496,019,712.25/10,217
6. Step 6: Final answer
   x = 48,548.47