Finding the Third Proportional to 42,512 and 65,598

Step by Step Solution

1. Step 1: Write the proportion equation
   42,512 : 65,598 = 65,598 : x
2. Step 2: Convert to fraction form
   42,512/65,598 = 65,598/x
3. Step 3: Cross multiply
   42,512x = 65,598 × 65,598
4. Step 4: Simplify right side
   42,512x = 4,303,097,604
5. Step 5: Solve for x
   x = 4,303,097,604/42,512
6. Step 6: Final answer
   x = 101,220.78