Finding the Third Proportional to 42,888 and 65,996

Step by Step Solution

1. Step 1: Write the proportion equation
   42,888 : 65,996 = 65,996 : x
2. Step 2: Convert to fraction form
   42,888/65,996 = 65,996/x
3. Step 3: Cross multiply
   42,888x = 65,996 × 65,996
4. Step 4: Simplify right side
   42,888x = 4,355,472,016
5. Step 5: Solve for x
   x = 4,355,472,016/42,888
6. Step 6: Final answer
   x = 101,554.56