Finding the Third Proportional to 30,529 and 64,338

Step by Step Solution

1. Step 1: Write the proportion equation
   30,529 : 64,338 = 64,338 : x
2. Step 2: Convert to fraction form
   30,529/64,338 = 64,338/x
3. Step 3: Cross multiply
   30,529x = 64,338 × 64,338
4. Step 4: Simplify right side
   30,529x = 4,139,378,244
5. Step 5: Solve for x
   x = 4,139,378,244/30,529
6. Step 6: Final answer
   x = 135,588.40