Finding the Third Proportional to 33,849 and 52,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,849 : 52,933.50 = 52,933.50 : x
2. Step 2: Convert to fraction form
   33,849/52,933.50 = 52,933.50/x
3. Step 3: Cross multiply
   33,849x = 52,933.50 × 52,933.50
4. Step 4: Simplify right side
   33,849x = 2,801,955,422.25
5. Step 5: Solve for x
   x = 2,801,955,422.25/33,849
6. Step 6: Final answer
   x = 82,778.09