Finding the Third Proportional to 30,602 and 64,849

Step by Step Solution

1. Step 1: Write the proportion equation
   30,602 : 64,849 = 64,849 : x
2. Step 2: Convert to fraction form
   30,602/64,849 = 64,849/x
3. Step 3: Cross multiply
   30,602x = 64,849 × 64,849
4. Step 4: Simplify right side
   30,602x = 4,205,392,801
5. Step 5: Solve for x
   x = 4,205,392,801/30,602
6. Step 6: Final answer
   x = 137,422.16