Finding the Third Proportional to 42,818 and 65,865

Step by Step Solution

1. Step 1: Write the proportion equation
   42,818 : 65,865 = 65,865 : x
2. Step 2: Convert to fraction form
   42,818/65,865 = 65,865/x
3. Step 3: Cross multiply
   42,818x = 65,865 × 65,865
4. Step 4: Simplify right side
   42,818x = 4,338,198,225
5. Step 5: Solve for x
   x = 4,338,198,225/42,818
6. Step 6: Final answer
   x = 101,317.16