Finding the Third Proportional to 40,738 and 64,823

Step by Step Solution

1. Step 1: Write the proportion equation
   40,738 : 64,823 = 64,823 : x
2. Step 2: Convert to fraction form
   40,738/64,823 = 64,823/x
3. Step 3: Cross multiply
   40,738x = 64,823 × 64,823
4. Step 4: Simplify right side
   40,738x = 4,202,021,329
5. Step 5: Solve for x
   x = 4,202,021,329/40,738
6. Step 6: Final answer
   x = 103,147.46