Finding the Third Proportional to 32,853 and 50,813

Step by Step Solution

1. Step 1: Write the proportion equation
   32,853 : 50,813 = 50,813 : x
2. Step 2: Convert to fraction form
   32,853/50,813 = 50,813/x
3. Step 3: Cross multiply
   32,853x = 50,813 × 50,813
4. Step 4: Simplify right side
   32,853x = 2,581,960,969
5. Step 5: Solve for x
   x = 2,581,960,969/32,853
6. Step 6: Final answer
   x = 78,591.33