Finding the Third Proportional to 15,782 and 34,388

Step by Step Solution

1. Step 1: Write the proportion equation
   15,782 : 34,388 = 34,388 : x
2. Step 2: Convert to fraction form
   15,782/34,388 = 34,388/x
3. Step 3: Cross multiply
   15,782x = 34,388 × 34,388
4. Step 4: Simplify right side
   15,782x = 1,182,534,544
5. Step 5: Solve for x
   x = 1,182,534,544/15,782
6. Step 6: Final answer
   x = 74,929.32