Finding the Third Proportional to 42,164 and 65,072

Step by Step Solution

1. Step 1: Write the proportion equation
   42,164 : 65,072 = 65,072 : x
2. Step 2: Convert to fraction form
   42,164/65,072 = 65,072/x
3. Step 3: Cross multiply
   42,164x = 65,072 × 65,072
4. Step 4: Simplify right side
   42,164x = 4,234,365,184
5. Step 5: Solve for x
   x = 4,234,365,184/42,164
6. Step 6: Final answer
   x = 100,426.08