Finding the Third Proportional to 41,802.50 and 89,357

Step by Step Solution

1. Step 1: Write the proportion equation
   41,802.50 : 89,357 = 89,357 : x
2. Step 2: Convert to fraction form
   41,802.50/89,357 = 89,357/x
3. Step 3: Cross multiply
   41,802.50x = 89,357 × 89,357
4. Step 4: Simplify right side
   41,802.50x = 7,984,673,449
5. Step 5: Solve for x
   x = 7,984,673,449/41,802.50
6. Step 6: Final answer
   x = 191,009.47