Finding the Third Proportional to 33,852 and 52,389.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,852 : 52,389.75 = 52,389.75 : x
2. Step 2: Convert to fraction form
   33,852/52,389.75 = 52,389.75/x
3. Step 3: Cross multiply
   33,852x = 52,389.75 × 52,389.75
4. Step 4: Simplify right side
   33,852x = 2,744,685,905.06
5. Step 5: Solve for x
   x = 2,744,685,905.06/33,852
6. Step 6: Final answer
   x = 81,078.99