Finding the Third Proportional to 23,144 and 32,772

Step by Step Solution

1. Step 1: Write the proportion equation
   23,144 : 32,772 = 32,772 : x
2. Step 2: Convert to fraction form
   23,144/32,772 = 32,772/x
3. Step 3: Cross multiply
   23,144x = 32,772 × 32,772
4. Step 4: Simplify right side
   23,144x = 1,074,003,984
5. Step 5: Solve for x
   x = 1,074,003,984/23,144
6. Step 6: Final answer
   x = 46,405.29