Finding the Third Proportional to 19,709 and 30,534

Step by Step Solution

1. Step 1: Write the proportion equation
   19,709 : 30,534 = 30,534 : x
2. Step 2: Convert to fraction form
   19,709/30,534 = 30,534/x
3. Step 3: Cross multiply
   19,709x = 30,534 × 30,534
4. Step 4: Simplify right side
   19,709x = 932,325,156
5. Step 5: Solve for x
   x = 932,325,156/19,709
6. Step 6: Final answer
   x = 47,304.54