Finding the Third Proportional to 15,786 and 34,420

Step by Step Solution

1. Step 1: Write the proportion equation
   15,786 : 34,420 = 34,420 : x
2. Step 2: Convert to fraction form
   15,786/34,420 = 34,420/x
3. Step 3: Cross multiply
   15,786x = 34,420 × 34,420
4. Step 4: Simplify right side
   15,786x = 1,184,736,400
5. Step 5: Solve for x
   x = 1,184,736,400/15,786
6. Step 6: Final answer
   x = 75,049.82