Finding the Third Proportional to 32,064 and 43,680

Step by Step Solution

1. Step 1: Write the proportion equation
   32,064 : 43,680 = 43,680 : x
2. Step 2: Convert to fraction form
   32,064/43,680 = 43,680/x
3. Step 3: Cross multiply
   32,064x = 43,680 × 43,680
4. Step 4: Simplify right side
   32,064x = 1,907,942,400
5. Step 5: Solve for x
   x = 1,907,942,400/32,064
6. Step 6: Final answer
   x = 59,504.19