Finding the Third Proportional to 10,114 and 22,172

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 22,172 = 22,172 : x
2. Step 2: Convert to fraction form
   10,114/22,172 = 22,172/x
3. Step 3: Cross multiply
   10,114x = 22,172 × 22,172
4. Step 4: Simplify right side
   10,114x = 491,597,584
5. Step 5: Solve for x
   x = 491,597,584/10,114
6. Step 6: Final answer
   x = 48,605.65