Finding the Third Proportional to 20,516 and 32,205

Step by Step Solution

1. Step 1: Write the proportion equation
   20,516 : 32,205 = 32,205 : x
2. Step 2: Convert to fraction form
   20,516/32,205 = 32,205/x
3. Step 3: Cross multiply
   20,516x = 32,205 × 32,205
4. Step 4: Simplify right side
   20,516x = 1,037,162,025
5. Step 5: Solve for x
   x = 1,037,162,025/20,516
6. Step 6: Final answer
   x = 50,553.81