Finding the Third Proportional to 30,296 and 64,804

Step by Step Solution

1. Step 1: Write the proportion equation
   30,296 : 64,804 = 64,804 : x
2. Step 2: Convert to fraction form
   30,296/64,804 = 64,804/x
3. Step 3: Cross multiply
   30,296x = 64,804 × 64,804
4. Step 4: Simplify right side
   30,296x = 4,199,558,416
5. Step 5: Solve for x
   x = 4,199,558,416/30,296
6. Step 6: Final answer
   x = 138,617.59