Finding the Third Proportional to 33,648 and 52,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 52,788.75 = 52,788.75 : x
2. Step 2: Convert to fraction form
   33,648/52,788.75 = 52,788.75/x
3. Step 3: Cross multiply
   33,648x = 52,788.75 × 52,788.75
4. Step 4: Simplify right side
   33,648x = 2,786,652,126.56
5. Step 5: Solve for x
   x = 2,786,652,126.56/33,648
6. Step 6: Final answer
   x = 82,817.76