Finding the Third Proportional to 20,072 and 42,034

Step by Step Solution

1. Step 1: Write the proportion equation
   20,072 : 42,034 = 42,034 : x
2. Step 2: Convert to fraction form
   20,072/42,034 = 42,034/x
3. Step 3: Cross multiply
   20,072x = 42,034 × 42,034
4. Step 4: Simplify right side
   20,072x = 1,766,857,156
5. Step 5: Solve for x
   x = 1,766,857,156/20,072
6. Step 6: Final answer
   x = 88,025.96