Finding the Third Proportional to 41,820 and 89,364

Step by Step Solution

1. Step 1: Write the proportion equation
   41,820 : 89,364 = 89,364 : x
2. Step 2: Convert to fraction form
   41,820/89,364 = 89,364/x
3. Step 3: Cross multiply
   41,820x = 89,364 × 89,364
4. Step 4: Simplify right side
   41,820x = 7,985,924,496
5. Step 5: Solve for x
   x = 7,985,924,496/41,820
6. Step 6: Final answer
   x = 190,959.46