Finding the Third Proportional to 21,832 and 32,712

Step by Step Solution

1. Step 1: Write the proportion equation
   21,832 : 32,712 = 32,712 : x
2. Step 2: Convert to fraction form
   21,832/32,712 = 32,712/x
3. Step 3: Cross multiply
   21,832x = 32,712 × 32,712
4. Step 4: Simplify right side
   21,832x = 1,070,074,944
5. Step 5: Solve for x
   x = 1,070,074,944/21,832
6. Step 6: Final answer
   x = 49,014.06