Finding the Third Proportional to 20,906 and 32,385

Step by Step Solution

1. Step 1: Write the proportion equation
   20,906 : 32,385 = 32,385 : x
2. Step 2: Convert to fraction form
   20,906/32,385 = 32,385/x
3. Step 3: Cross multiply
   20,906x = 32,385 × 32,385
4. Step 4: Simplify right side
   20,906x = 1,048,788,225
5. Step 5: Solve for x
   x = 1,048,788,225/20,906
6. Step 6: Final answer
   x = 50,166.85