Finding the Third Proportional to 42,146 and 65,043

Step by Step Solution

1. Step 1: Write the proportion equation
   42,146 : 65,043 = 65,043 : x
2. Step 2: Convert to fraction form
   42,146/65,043 = 65,043/x
3. Step 3: Cross multiply
   42,146x = 65,043 × 65,043
4. Step 4: Simplify right side
   42,146x = 4,230,591,849
5. Step 5: Solve for x
   x = 4,230,591,849/42,146
6. Step 6: Final answer
   x = 100,379.44