Finding the Third Proportional to 20,870 and 32,319

Step by Step Solution

1. Step 1: Write the proportion equation
   20,870 : 32,319 = 32,319 : x
2. Step 2: Convert to fraction form
   20,870/32,319 = 32,319/x
3. Step 3: Cross multiply
   20,870x = 32,319 × 32,319
4. Step 4: Simplify right side
   20,870x = 1,044,517,761
5. Step 5: Solve for x
   x = 1,044,517,761/20,870
6. Step 6: Final answer
   x = 50,048.77