Finding the Third Proportional to 20,480 and 32,772

Step by Step Solution

1. Step 1: Write the proportion equation
   20,480 : 32,772 = 32,772 : x
2. Step 2: Convert to fraction form
   20,480/32,772 = 32,772/x
3. Step 3: Cross multiply
   20,480x = 32,772 × 32,772
4. Step 4: Simplify right side
   20,480x = 1,074,003,984
5. Step 5: Solve for x
   x = 1,074,003,984/20,480
6. Step 6: Final answer
   x = 52,441.60