Finding the Third Proportional to 21,906 and 32,769

Step by Step Solution

1. Step 1: Write the proportion equation
   21,906 : 32,769 = 32,769 : x
2. Step 2: Convert to fraction form
   21,906/32,769 = 32,769/x
3. Step 3: Cross multiply
   21,906x = 32,769 × 32,769
4. Step 4: Simplify right side
   21,906x = 1,073,807,361
5. Step 5: Solve for x
   x = 1,073,807,361/21,906
6. Step 6: Final answer
   x = 49,018.87