Finding the Third Proportional to 30,377 and 64,055

Step by Step Solution

1. Step 1: Write the proportion equation
   30,377 : 64,055 = 64,055 : x
2. Step 2: Convert to fraction form
   30,377/64,055 = 64,055/x
3. Step 3: Cross multiply
   30,377x = 64,055 × 64,055
4. Step 4: Simplify right side
   30,377x = 4,103,043,025
5. Step 5: Solve for x
   x = 4,103,043,025/30,377
6. Step 6: Final answer
   x = 135,070.71