Finding the Third Proportional to 41,253 and 64,344

Step by Step Solution

1. Step 1: Write the proportion equation
   41,253 : 64,344 = 64,344 : x
2. Step 2: Convert to fraction form
   41,253/64,344 = 64,344/x
3. Step 3: Cross multiply
   41,253x = 64,344 × 64,344
4. Step 4: Simplify right side
   41,253x = 4,140,150,336
5. Step 5: Solve for x
   x = 4,140,150,336/41,253
6. Step 6: Final answer
   x = 100,359.98