Finding the Third Proportional to 19,704 and 42,175

Step by Step Solution

1. Step 1: Write the proportion equation
   19,704 : 42,175 = 42,175 : x
2. Step 2: Convert to fraction form
   19,704/42,175 = 42,175/x
3. Step 3: Cross multiply
   19,704x = 42,175 × 42,175
4. Step 4: Simplify right side
   19,704x = 1,778,730,625
5. Step 5: Solve for x
   x = 1,778,730,625/19,704
6. Step 6: Final answer
   x = 90,272.57