Finding the Third Proportional to 30,616 and 64,901

Step by Step Solution

1. Step 1: Write the proportion equation
   30,616 : 64,901 = 64,901 : x
2. Step 2: Convert to fraction form
   30,616/64,901 = 64,901/x
3. Step 3: Cross multiply
   30,616x = 64,901 × 64,901
4. Step 4: Simplify right side
   30,616x = 4,212,139,801
5. Step 5: Solve for x
   x = 4,212,139,801/30,616
6. Step 6: Final answer
   x = 137,579.69