Finding the Third Proportional to 42,277 and 65,006

Step by Step Solution

1. Step 1: Write the proportion equation
   42,277 : 65,006 = 65,006 : x
2. Step 2: Convert to fraction form
   42,277/65,006 = 65,006/x
3. Step 3: Cross multiply
   42,277x = 65,006 × 65,006
4. Step 4: Simplify right side
   42,277x = 4,225,780,036
5. Step 5: Solve for x
   x = 4,225,780,036/42,277
6. Step 6: Final answer
   x = 99,954.59