Finding the Third Proportional to 30,499 and 64,278

Step by Step Solution

1. Step 1: Write the proportion equation
   30,499 : 64,278 = 64,278 : x
2. Step 2: Convert to fraction form
   30,499/64,278 = 64,278/x
3. Step 3: Cross multiply
   30,499x = 64,278 × 64,278
4. Step 4: Simplify right side
   30,499x = 4,131,661,284
5. Step 5: Solve for x
   x = 4,131,661,284/30,499
6. Step 6: Final answer
   x = 135,468.75