Finding the Third Proportional to 22,172 and 49,270

Step by Step Solution

1. Step 1: Write the proportion equation
   22,172 : 49,270 = 49,270 : x
2. Step 2: Convert to fraction form
   22,172/49,270 = 49,270/x
3. Step 3: Cross multiply
   22,172x = 49,270 × 49,270
4. Step 4: Simplify right side
   22,172x = 2,427,532,900
5. Step 5: Solve for x
   x = 2,427,532,900/22,172
6. Step 6: Final answer
   x = 109,486.42