Finding the Third Proportional to 42,366 and 65,007

Step by Step Solution

1. Step 1: Write the proportion equation
   42,366 : 65,007 = 65,007 : x
2. Step 2: Convert to fraction form
   42,366/65,007 = 65,007/x
3. Step 3: Cross multiply
   42,366x = 65,007 × 65,007
4. Step 4: Simplify right side
   42,366x = 4,225,910,049
5. Step 5: Solve for x
   x = 4,225,910,049/42,366
6. Step 6: Final answer
   x = 99,747.68