Finding the Third Proportional to 42,682 and 65,947

Step by Step Solution

1. Step 1: Write the proportion equation
   42,682 : 65,947 = 65,947 : x
2. Step 2: Convert to fraction form
   42,682/65,947 = 65,947/x
3. Step 3: Cross multiply
   42,682x = 65,947 × 65,947
4. Step 4: Simplify right side
   42,682x = 4,349,006,809
5. Step 5: Solve for x
   x = 4,349,006,809/42,682
6. Step 6: Final answer
   x = 101,893.23