Finding the Third Proportional to 42,384 and 65,604

Step by Step Solution

1. Step 1: Write the proportion equation
   42,384 : 65,604 = 65,604 : x
2. Step 2: Convert to fraction form
   42,384/65,604 = 65,604/x
3. Step 3: Cross multiply
   42,384x = 65,604 × 65,604
4. Step 4: Simplify right side
   42,384x = 4,303,884,816
5. Step 5: Solve for x
   x = 4,303,884,816/42,384
6. Step 6: Final answer
   x = 101,545.04