Finding the Third Proportional to 35,270 and 54,648

Step by Step Solution

1. Step 1: Write the proportion equation
   35,270 : 54,648 = 54,648 : x
2. Step 2: Convert to fraction form
   35,270/54,648 = 54,648/x
3. Step 3: Cross multiply
   35,270x = 54,648 × 54,648
4. Step 4: Simplify right side
   35,270x = 2,986,403,904
5. Step 5: Solve for x
   x = 2,986,403,904/35,270
6. Step 6: Final answer
   x = 84,672.64