Finding the Third Proportional to 41,624 and 64,377

Step by Step Solution

1. Step 1: Write the proportion equation
   41,624 : 64,377 = 64,377 : x
2. Step 2: Convert to fraction form
   41,624/64,377 = 64,377/x
3. Step 3: Cross multiply
   41,624x = 64,377 × 64,377
4. Step 4: Simplify right side
   41,624x = 4,144,398,129
5. Step 5: Solve for x
   x = 4,144,398,129/41,624
6. Step 6: Final answer
   x = 99,567.51