Finding the Third Proportional to 40,772 and 64,864

Step by Step Solution

1. Step 1: Write the proportion equation
   40,772 : 64,864 = 64,864 : x
2. Step 2: Convert to fraction form
   40,772/64,864 = 64,864/x
3. Step 3: Cross multiply
   40,772x = 64,864 × 64,864
4. Step 4: Simplify right side
   40,772x = 4,207,338,496
5. Step 5: Solve for x
   x = 4,207,338,496/40,772
6. Step 6: Final answer
   x = 103,191.86