Finding the Third Proportional to 42,096 and 89,796

Step by Step Solution

1. Step 1: Write the proportion equation
   42,096 : 89,796 = 89,796 : x
2. Step 2: Convert to fraction form
   42,096/89,796 = 89,796/x
3. Step 3: Cross multiply
   42,096x = 89,796 × 89,796
4. Step 4: Simplify right side
   42,096x = 8,063,321,616
5. Step 5: Solve for x
   x = 8,063,321,616/42,096
6. Step 6: Final answer
   x = 191,546.03