Finding the Third Proportional to 41,520 and 64,464

Step by Step Solution

1. Step 1: Write the proportion equation
   41,520 : 64,464 = 64,464 : x
2. Step 2: Convert to fraction form
   41,520/64,464 = 64,464/x
3. Step 3: Cross multiply
   41,520x = 64,464 × 64,464
4. Step 4: Simplify right side
   41,520x = 4,155,607,296
5. Step 5: Solve for x
   x = 4,155,607,296/41,520
6. Step 6: Final answer
   x = 100,086.88