Finding the Third Proportional to 19,816 and 31,672

Step by Step Solution

1. Step 1: Write the proportion equation
   19,816 : 31,672 = 31,672 : x
2. Step 2: Convert to fraction form
   19,816/31,672 = 31,672/x
3. Step 3: Cross multiply
   19,816x = 31,672 × 31,672
4. Step 4: Simplify right side
   19,816x = 1,003,115,584
5. Step 5: Solve for x
   x = 1,003,115,584/19,816
6. Step 6: Final answer
   x = 50,621.50