Finding the Third Proportional to 32,853 and 72,064

Step by Step Solution

1. Step 1: Write the proportion equation
   32,853 : 72,064 = 72,064 : x
2. Step 2: Convert to fraction form
   32,853/72,064 = 72,064/x
3. Step 3: Cross multiply
   32,853x = 72,064 × 72,064
4. Step 4: Simplify right side
   32,853x = 5,193,220,096
5. Step 5: Solve for x
   x = 5,193,220,096/32,853
6. Step 6: Final answer
   x = 158,074.46