Finding the Third Proportional to 41,494 and 64,358

Step by Step Solution

1. Step 1: Write the proportion equation
   41,494 : 64,358 = 64,358 : x
2. Step 2: Convert to fraction form
   41,494/64,358 = 64,358/x
3. Step 3: Cross multiply
   41,494x = 64,358 × 64,358
4. Step 4: Simplify right side
   41,494x = 4,141,952,164
5. Step 5: Solve for x
   x = 4,141,952,164/41,494
6. Step 6: Final answer
   x = 99,820.51