Finding the Third Proportional to 15,784 and 34,030

Step by Step Solution

1. Step 1: Write the proportion equation
   15,784 : 34,030 = 34,030 : x
2. Step 2: Convert to fraction form
   15,784/34,030 = 34,030/x
3. Step 3: Cross multiply
   15,784x = 34,030 × 34,030
4. Step 4: Simplify right side
   15,784x = 1,158,040,900
5. Step 5: Solve for x
   x = 1,158,040,900/15,784
6. Step 6: Final answer
   x = 73,368.02