Finding the Third Proportional to 15,840 and 32,640

Step by Step Solution

1. Step 1: Write the proportion equation
   15,840 : 32,640 = 32,640 : x
2. Step 2: Convert to fraction form
   15,840/32,640 = 32,640/x
3. Step 3: Cross multiply
   15,840x = 32,640 × 32,640
4. Step 4: Simplify right side
   15,840x = 1,065,369,600
5. Step 5: Solve for x
   x = 1,065,369,600/15,840
6. Step 6: Final answer
   x = 67,258.18