Finding the Third Proportional to 19,702 and 42,171

Step by Step Solution

1. Step 1: Write the proportion equation
   19,702 : 42,171 = 42,171 : x
2. Step 2: Convert to fraction form
   19,702/42,171 = 42,171/x
3. Step 3: Cross multiply
   19,702x = 42,171 × 42,171
4. Step 4: Simplify right side
   19,702x = 1,778,393,241
5. Step 5: Solve for x
   x = 1,778,393,241/19,702
6. Step 6: Final answer
   x = 90,264.60