Finding the Third Proportional to 40,974 and 64,314

Step by Step Solution

1. Step 1: Write the proportion equation
   40,974 : 64,314 = 64,314 : x
2. Step 2: Convert to fraction form
   40,974/64,314 = 64,314/x
3. Step 3: Cross multiply
   40,974x = 64,314 × 64,314
4. Step 4: Simplify right side
   40,974x = 4,136,290,596
5. Step 5: Solve for x
   x = 4,136,290,596/40,974
6. Step 6: Final answer
   x = 100,949.15