Finding the Third Proportional to 42,684 and 93,564

Step by Step Solution

1. Step 1: Write the proportion equation
   42,684 : 93,564 = 93,564 : x
2. Step 2: Convert to fraction form
   42,684/93,564 = 93,564/x
3. Step 3: Cross multiply
   42,684x = 93,564 × 93,564
4. Step 4: Simplify right side
   42,684x = 8,754,222,096
5. Step 5: Solve for x
   x = 8,754,222,096/42,684
6. Step 6: Final answer
   x = 205,093.76