Finding the Third Proportional to 30,075 and 64,320

Step by Step Solution

1. Step 1: Write the proportion equation
   30,075 : 64,320 = 64,320 : x
2. Step 2: Convert to fraction form
   30,075/64,320 = 64,320/x
3. Step 3: Cross multiply
   30,075x = 64,320 × 64,320
4. Step 4: Simplify right side
   30,075x = 4,137,062,400
5. Step 5: Solve for x
   x = 4,137,062,400/30,075
6. Step 6: Final answer
   x = 137,558.18