Finding the Third Proportional to 42,638 and 93,736

Step by Step Solution

1. Step 1: Write the proportion equation
   42,638 : 93,736 = 93,736 : x
2. Step 2: Convert to fraction form
   42,638/93,736 = 93,736/x
3. Step 3: Cross multiply
   42,638x = 93,736 × 93,736
4. Step 4: Simplify right side
   42,638x = 8,786,437,696
5. Step 5: Solve for x
   x = 8,786,437,696/42,638
6. Step 6: Final answer
   x = 206,070.59