Finding the Third Proportional to 40,455 and 64,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,455 : 64,633.50 = 64,633.50 : x
2. Step 2: Convert to fraction form
   40,455/64,633.50 = 64,633.50/x
3. Step 3: Cross multiply
   40,455x = 64,633.50 × 64,633.50
4. Step 4: Simplify right side
   40,455x = 4,177,489,322.25
5. Step 5: Solve for x
   x = 4,177,489,322.25/40,455
6. Step 6: Final answer
   x = 103,262.62