Finding the Third Proportional to 33,705 and 52,868

Step by Step Solution

1. Step 1: Write the proportion equation
   33,705 : 52,868 = 52,868 : x
2. Step 2: Convert to fraction form
   33,705/52,868 = 52,868/x
3. Step 3: Cross multiply
   33,705x = 52,868 × 52,868
4. Step 4: Simplify right side
   33,705x = 2,795,025,424
5. Step 5: Solve for x
   x = 2,795,025,424/33,705
6. Step 6: Final answer
   x = 82,926.14