Finding the Third Proportional to 41,412 and 89,381

Step by Step Solution

1. Step 1: Write the proportion equation
   41,412 : 89,381 = 89,381 : x
2. Step 2: Convert to fraction form
   41,412/89,381 = 89,381/x
3. Step 3: Cross multiply
   41,412x = 89,381 × 89,381
4. Step 4: Simplify right side
   41,412x = 7,988,963,161
5. Step 5: Solve for x
   x = 7,988,963,161/41,412
6. Step 6: Final answer
   x = 192,914.21