Finding the Third Proportional to 42,114 and 65,283

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114 : 65,283 = 65,283 : x
2. Step 2: Convert to fraction form
   42,114/65,283 = 65,283/x
3. Step 3: Cross multiply
   42,114x = 65,283 × 65,283
4. Step 4: Simplify right side
   42,114x = 4,261,870,089
5. Step 5: Solve for x
   x = 4,261,870,089/42,114
6. Step 6: Final answer
   x = 101,198.42