Finding the Third Proportional to 15,574 and 34,184

Step by Step Solution

1. Step 1: Write the proportion equation
   15,574 : 34,184 = 34,184 : x
2. Step 2: Convert to fraction form
   15,574/34,184 = 34,184/x
3. Step 3: Cross multiply
   15,574x = 34,184 × 34,184
4. Step 4: Simplify right side
   15,574x = 1,168,545,856
5. Step 5: Solve for x
   x = 1,168,545,856/15,574
6. Step 6: Final answer
   x = 75,031.84