Finding the Third Proportional to 32,853 and 72,065

Step by Step Solution

1. Step 1: Write the proportion equation
   32,853 : 72,065 = 72,065 : x
2. Step 2: Convert to fraction form
   32,853/72,065 = 72,065/x
3. Step 3: Cross multiply
   32,853x = 72,065 × 72,065
4. Step 4: Simplify right side
   32,853x = 5,193,364,225
5. Step 5: Solve for x
   x = 5,193,364,225/32,853
6. Step 6: Final answer
   x = 158,078.84