Finding the Third Proportional to 30,683 and 64,464

Step by Step Solution

1. Step 1: Write the proportion equation
   30,683 : 64,464 = 64,464 : x
2. Step 2: Convert to fraction form
   30,683/64,464 = 64,464/x
3. Step 3: Cross multiply
   30,683x = 64,464 × 64,464
4. Step 4: Simplify right side
   30,683x = 4,155,607,296
5. Step 5: Solve for x
   x = 4,155,607,296/30,683
6. Step 6: Final answer
   x = 135,436.80