Finding the Third Proportional to 21,474 and 32,111

Step by Step Solution

1. Step 1: Write the proportion equation
   21,474 : 32,111 = 32,111 : x
2. Step 2: Convert to fraction form
   21,474/32,111 = 32,111/x
3. Step 3: Cross multiply
   21,474x = 32,111 × 32,111
4. Step 4: Simplify right side
   21,474x = 1,031,116,321
5. Step 5: Solve for x
   x = 1,031,116,321/21,474
6. Step 6: Final answer
   x = 48,016.97