Finding the Third Proportional to 20,160 and 32,814

Step by Step Solution

1. Step 1: Write the proportion equation
   20,160 : 32,814 = 32,814 : x
2. Step 2: Convert to fraction form
   20,160/32,814 = 32,814/x
3. Step 3: Cross multiply
   20,160x = 32,814 × 32,814
4. Step 4: Simplify right side
   20,160x = 1,076,758,596
5. Step 5: Solve for x
   x = 1,076,758,596/20,160
6. Step 6: Final answer
   x = 53,410.64