Finding the Third Proportional to 19,709 and 42,577

Step by Step Solution

1. Step 1: Write the proportion equation
   19,709 : 42,577 = 42,577 : x
2. Step 2: Convert to fraction form
   19,709/42,577 = 42,577/x
3. Step 3: Cross multiply
   19,709x = 42,577 × 42,577
4. Step 4: Simplify right side
   19,709x = 1,812,800,929
5. Step 5: Solve for x
   x = 1,812,800,929/19,709
6. Step 6: Final answer
   x = 91,978.33