Finding the Third Proportional to 33,410 and 52,866

Step by Step Solution

1. Step 1: Write the proportion equation
   33,410 : 52,866 = 52,866 : x
2. Step 2: Convert to fraction form
   33,410/52,866 = 52,866/x
3. Step 3: Cross multiply
   33,410x = 52,866 × 52,866
4. Step 4: Simplify right side
   33,410x = 2,794,813,956
5. Step 5: Solve for x
   x = 2,794,813,956/33,410
6. Step 6: Final answer
   x = 83,652.02