Finding the Third Proportional to 20,174 and 42,775

Step by Step Solution

1. Step 1: Write the proportion equation
   20,174 : 42,775 = 42,775 : x
2. Step 2: Convert to fraction form
   20,174/42,775 = 42,775/x
3. Step 3: Cross multiply
   20,174x = 42,775 × 42,775
4. Step 4: Simplify right side
   20,174x = 1,829,700,625
5. Step 5: Solve for x
   x = 1,829,700,625/20,174
6. Step 6: Final answer
   x = 90,695.98