Finding the Third Proportional to 19,546 and 42,794

Step by Step Solution

1. Step 1: Write the proportion equation
   19,546 : 42,794 = 42,794 : x
2. Step 2: Convert to fraction form
   19,546/42,794 = 42,794/x
3. Step 3: Cross multiply
   19,546x = 42,794 × 42,794
4. Step 4: Simplify right side
   19,546x = 1,831,326,436
5. Step 5: Solve for x
   x = 1,831,326,436/19,546
6. Step 6: Final answer
   x = 93,693.16