Finding the Third Proportional to 41,140 and 89,028

Step by Step Solution

1. Step 1: Write the proportion equation
   41,140 : 89,028 = 89,028 : x
2. Step 2: Convert to fraction form
   41,140/89,028 = 89,028/x
3. Step 3: Cross multiply
   41,140x = 89,028 × 89,028
4. Step 4: Simplify right side
   41,140x = 7,925,984,784
5. Step 5: Solve for x
   x = 7,925,984,784/41,140
6. Step 6: Final answer
   x = 192,658.84