Finding the Third Proportional to 20,172 and 42,771

Step by Step Solution

1. Step 1: Write the proportion equation
   20,172 : 42,771 = 42,771 : x
2. Step 2: Convert to fraction form
   20,172/42,771 = 42,771/x
3. Step 3: Cross multiply
   20,172x = 42,771 × 42,771
4. Step 4: Simplify right side
   20,172x = 1,829,358,441
5. Step 5: Solve for x
   x = 1,829,358,441/20,172
6. Step 6: Final answer
   x = 90,688.01