Finding the Third Proportional to 30,766 and 64,772

Step by Step Solution

1. Step 1: Write the proportion equation
   30,766 : 64,772 = 64,772 : x
2. Step 2: Convert to fraction form
   30,766/64,772 = 64,772/x
3. Step 3: Cross multiply
   30,766x = 64,772 × 64,772
4. Step 4: Simplify right side
   30,766x = 4,195,411,984
5. Step 5: Solve for x
   x = 4,195,411,984/30,766
6. Step 6: Final answer
   x = 136,365.21