Finding the Third Proportional to 32,894 and 71,323

Step by Step Solution

1. Step 1: Write the proportion equation
   32,894 : 71,323 = 71,323 : x
2. Step 2: Convert to fraction form
   32,894/71,323 = 71,323/x
3. Step 3: Cross multiply
   32,894x = 71,323 × 71,323
4. Step 4: Simplify right side
   32,894x = 5,086,970,329
5. Step 5: Solve for x
   x = 5,086,970,329/32,894
6. Step 6: Final answer
   x = 154,647.36