Finding the Third Proportional to 30,588 and 64,494

Step by Step Solution

1. Step 1: Write the proportion equation
   30,588 : 64,494 = 64,494 : x
2. Step 2: Convert to fraction form
   30,588/64,494 = 64,494/x
3. Step 3: Cross multiply
   30,588x = 64,494 × 64,494
4. Step 4: Simplify right side
   30,588x = 4,159,476,036
5. Step 5: Solve for x
   x = 4,159,476,036/30,588
6. Step 6: Final answer
   x = 135,983.92