Finding the Third Proportional to 19,175 and 31,684

Step by Step Solution

1. Step 1: Write the proportion equation
   19,175 : 31,684 = 31,684 : x
2. Step 2: Convert to fraction form
   19,175/31,684 = 31,684/x
3. Step 3: Cross multiply
   19,175x = 31,684 × 31,684
4. Step 4: Simplify right side
   19,175x = 1,003,875,856
5. Step 5: Solve for x
   x = 1,003,875,856/19,175
6. Step 6: Final answer
   x = 52,353.37