Finding the Third Proportional to 64,824 and 100,002

Step by Step Solution

1. Step 1: Write the proportion equation
   64,824 : 100,002 = 100,002 : x
2. Step 2: Convert to fraction form
   64,824/100,002 = 100,002/x
3. Step 3: Cross multiply
   64,824x = 100,002 × 100,002
4. Step 4: Simplify right side
   64,824x = 10,000,400,004
5. Step 5: Solve for x
   x = 10,000,400,004/64,824
6. Step 6: Final answer
   x = 154,270.02