Finding the Third Proportional to 33,826 and 52,580

Step by Step Solution

1. Step 1: Write the proportion equation
   33,826 : 52,580 = 52,580 : x
2. Step 2: Convert to fraction form
   33,826/52,580 = 52,580/x
3. Step 3: Cross multiply
   33,826x = 52,580 × 52,580
4. Step 4: Simplify right side
   33,826x = 2,764,656,400
5. Step 5: Solve for x
   x = 2,764,656,400/33,826
6. Step 6: Final answer
   x = 81,731.70