Finding the Third Proportional to 32,824 and 67,584

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824 : 67,584 = 67,584 : x
2. Step 2: Convert to fraction form
   32,824/67,584 = 67,584/x
3. Step 3: Cross multiply
   32,824x = 67,584 × 67,584
4. Step 4: Simplify right side
   32,824x = 4,567,597,056
5. Step 5: Solve for x
   x = 4,567,597,056/32,824
6. Step 6: Final answer
   x = 139,154.19