Finding the Third Proportional to 32,880 and 35,688

Step by Step Solution

1. Step 1: Write the proportion equation
   32,880 : 35,688 = 35,688 : x
2. Step 2: Convert to fraction form
   32,880/35,688 = 35,688/x
3. Step 3: Cross multiply
   32,880x = 35,688 × 35,688
4. Step 4: Simplify right side
   32,880x = 1,273,633,344
5. Step 5: Solve for x
   x = 1,273,633,344/32,880
6. Step 6: Final answer
   x = 38,735.81