Finding the Third Proportional to 41,500 and 64,366

Step by Step Solution

1. Step 1: Write the proportion equation
   41,500 : 64,366 = 64,366 : x
2. Step 2: Convert to fraction form
   41,500/64,366 = 64,366/x
3. Step 3: Cross multiply
   41,500x = 64,366 × 64,366
4. Step 4: Simplify right side
   41,500x = 4,142,981,956
5. Step 5: Solve for x
   x = 4,142,981,956/41,500
6. Step 6: Final answer
   x = 99,830.89