Finding the Third Proportional to 30,584 and 64,842

Step by Step Solution

1. Step 1: Write the proportion equation
   30,584 : 64,842 = 64,842 : x
2. Step 2: Convert to fraction form
   30,584/64,842 = 64,842/x
3. Step 3: Cross multiply
   30,584x = 64,842 × 64,842
4. Step 4: Simplify right side
   30,584x = 4,204,484,964
5. Step 5: Solve for x
   x = 4,204,484,964/30,584
6. Step 6: Final answer
   x = 137,473.35