Finding the Third Proportional to 20,174 and 42,751

Step by Step Solution

1. Step 1: Write the proportion equation
   20,174 : 42,751 = 42,751 : x
2. Step 2: Convert to fraction form
   20,174/42,751 = 42,751/x
3. Step 3: Cross multiply
   20,174x = 42,751 × 42,751
4. Step 4: Simplify right side
   20,174x = 1,827,648,001
5. Step 5: Solve for x
   x = 1,827,648,001/20,174
6. Step 6: Final answer
   x = 90,594.23