Finding the Third Proportional to 41,518 and 64,465

Step by Step Solution

1. Step 1: Write the proportion equation
   41,518 : 64,465 = 64,465 : x
2. Step 2: Convert to fraction form
   41,518/64,465 = 64,465/x
3. Step 3: Cross multiply
   41,518x = 64,465 × 64,465
4. Step 4: Simplify right side
   41,518x = 4,155,736,225
5. Step 5: Solve for x
   x = 4,155,736,225/41,518
6. Step 6: Final answer
   x = 100,094.81