Finding the Third Proportional to 42,280 and 65,009

Step by Step Solution

1. Step 1: Write the proportion equation
   42,280 : 65,009 = 65,009 : x
2. Step 2: Convert to fraction form
   42,280/65,009 = 65,009/x
3. Step 3: Cross multiply
   42,280x = 65,009 × 65,009
4. Step 4: Simplify right side
   42,280x = 4,226,170,081
5. Step 5: Solve for x
   x = 4,226,170,081/42,280
6. Step 6: Final answer
   x = 99,956.72