Finding the Third Proportional to 10,172 and 22,072

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 22,072 = 22,072 : x
2. Step 2: Convert to fraction form
   10,172/22,072 = 22,072/x
3. Step 3: Cross multiply
   10,172x = 22,072 × 22,072
4. Step 4: Simplify right side
   10,172x = 487,173,184
5. Step 5: Solve for x
   x = 487,173,184/10,172
6. Step 6: Final answer
   x = 47,893.55