Finding the Third Proportional to 37,896 and 82,429

Step by Step Solution

1. Step 1: Write the proportion equation
   37,896 : 82,429 = 82,429 : x
2. Step 2: Convert to fraction form
   37,896/82,429 = 82,429/x
3. Step 3: Cross multiply
   37,896x = 82,429 × 82,429
4. Step 4: Simplify right side
   37,896x = 6,794,540,041
5. Step 5: Solve for x
   x = 6,794,540,041/37,896
6. Step 6: Final answer
   x = 179,294.39