Finding the Third Proportional to 42,907 and 65,636

Step by Step Solution

1. Step 1: Write the proportion equation
   42,907 : 65,636 = 65,636 : x
2. Step 2: Convert to fraction form
   42,907/65,636 = 65,636/x
3. Step 3: Cross multiply
   42,907x = 65,636 × 65,636
4. Step 4: Simplify right side
   42,907x = 4,308,084,496
5. Step 5: Solve for x
   x = 4,308,084,496/42,907
6. Step 6: Final answer
   x = 100,405.17