Finding the Third Proportional to 21,606 and 32,427

Step by Step Solution

1. Step 1: Write the proportion equation
   21,606 : 32,427 = 32,427 : x
2. Step 2: Convert to fraction form
   21,606/32,427 = 32,427/x
3. Step 3: Cross multiply
   21,606x = 32,427 × 32,427
4. Step 4: Simplify right side
   21,606x = 1,051,510,329
5. Step 5: Solve for x
   x = 1,051,510,329/21,606
6. Step 6: Final answer
   x = 48,667.51