Finding the Third Proportional to 20,894 and 32,003

Step by Step Solution

1. Step 1: Write the proportion equation
   20,894 : 32,003 = 32,003 : x
2. Step 2: Convert to fraction form
   20,894/32,003 = 32,003/x
3. Step 3: Cross multiply
   20,894x = 32,003 × 32,003
4. Step 4: Simplify right side
   20,894x = 1,024,192,009
5. Step 5: Solve for x
   x = 1,024,192,009/20,894
6. Step 6: Final answer
   x = 49,018.47