Finding the Third Proportional to 15,434 and 31,596

Step by Step Solution

1. Step 1: Write the proportion equation
   15,434 : 31,596 = 31,596 : x
2. Step 2: Convert to fraction form
   15,434/31,596 = 31,596/x
3. Step 3: Cross multiply
   15,434x = 31,596 × 31,596
4. Step 4: Simplify right side
   15,434x = 998,307,216
5. Step 5: Solve for x
   x = 998,307,216/15,434
6. Step 6: Final answer
   x = 64,682.34