Finding the Third Proportional to 32,191 and 67,323

Step by Step Solution

1. Step 1: Write the proportion equation
   32,191 : 67,323 = 67,323 : x
2. Step 2: Convert to fraction form
   32,191/67,323 = 67,323/x
3. Step 3: Cross multiply
   32,191x = 67,323 × 67,323
4. Step 4: Simplify right side
   32,191x = 4,532,386,329
5. Step 5: Solve for x
   x = 4,532,386,329/32,191
6. Step 6: Final answer
   x = 140,796.69