Finding the Third Proportional to 32,323 and 67,589

Step by Step Solution

1. Step 1: Write the proportion equation
   32,323 : 67,589 = 67,589 : x
2. Step 2: Convert to fraction form
   32,323/67,589 = 67,589/x
3. Step 3: Cross multiply
   32,323x = 67,589 × 67,589
4. Step 4: Simplify right side
   32,323x = 4,568,272,921
5. Step 5: Solve for x
   x = 4,568,272,921/32,323
6. Step 6: Final answer
   x = 141,331.96