Finding the Third Proportional to 34,850 and 82,805

Step by Step Solution

1. Step 1: Write the proportion equation
   34,850 : 82,805 = 82,805 : x
2. Step 2: Convert to fraction form
   34,850/82,805 = 82,805/x
3. Step 3: Cross multiply
   34,850x = 82,805 × 82,805
4. Step 4: Simplify right side
   34,850x = 6,856,668,025
5. Step 5: Solve for x
   x = 6,856,668,025/34,850
6. Step 6: Final answer
   x = 196,748.01