Finding the Third Proportional to 30,007 and 64,389

Step by Step Solution

1. Step 1: Write the proportion equation
   30,007 : 64,389 = 64,389 : x
2. Step 2: Convert to fraction form
   30,007/64,389 = 64,389/x
3. Step 3: Cross multiply
   30,007x = 64,389 × 64,389
4. Step 4: Simplify right side
   30,007x = 4,145,943,321
5. Step 5: Solve for x
   x = 4,145,943,321/30,007
6. Step 6: Final answer
   x = 138,165.87