Finding the Third Proportional to 10,520 and 22,672

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 22,672 = 22,672 : x
2. Step 2: Convert to fraction form
   10,520/22,672 = 22,672/x
3. Step 3: Cross multiply
   10,520x = 22,672 × 22,672
4. Step 4: Simplify right side
   10,520x = 514,019,584
5. Step 5: Solve for x
   x = 514,019,584/10,520
6. Step 6: Final answer
   x = 48,861.18