Finding the Third Proportional to 19,641 and 42,738

Step by Step Solution

1. Step 1: Write the proportion equation
   19,641 : 42,738 = 42,738 : x
2. Step 2: Convert to fraction form
   19,641/42,738 = 42,738/x
3. Step 3: Cross multiply
   19,641x = 42,738 × 42,738
4. Step 4: Simplify right side
   19,641x = 1,826,536,644
5. Step 5: Solve for x
   x = 1,826,536,644/19,641
6. Step 6: Final answer
   x = 92,996.11