Finding the Third Proportional to 40,014 and 64,455

Step by Step Solution

1. Step 1: Write the proportion equation
   40,014 : 64,455 = 64,455 : x
2. Step 2: Convert to fraction form
   40,014/64,455 = 64,455/x
3. Step 3: Cross multiply
   40,014x = 64,455 × 64,455
4. Step 4: Simplify right side
   40,014x = 4,154,447,025
5. Step 5: Solve for x
   x = 4,154,447,025/40,014
6. Step 6: Final answer
   x = 103,824.84