Finding the Third Proportional to 42,096 and 61,668

Step by Step Solution

1. Step 1: Write the proportion equation
   42,096 : 61,668 = 61,668 : x
2. Step 2: Convert to fraction form
   42,096/61,668 = 61,668/x
3. Step 3: Cross multiply
   42,096x = 61,668 × 61,668
4. Step 4: Simplify right side
   42,096x = 3,802,942,224
5. Step 5: Solve for x
   x = 3,802,942,224/42,096
6. Step 6: Final answer
   x = 90,339.75