Finding the Third Proportional to 30,614 and 64,902

Step by Step Solution

1. Step 1: Write the proportion equation
   30,614 : 64,902 = 64,902 : x
2. Step 2: Convert to fraction form
   30,614/64,902 = 64,902/x
3. Step 3: Cross multiply
   30,614x = 64,902 × 64,902
4. Step 4: Simplify right side
   30,614x = 4,212,269,604
5. Step 5: Solve for x
   x = 4,212,269,604/30,614
6. Step 6: Final answer
   x = 137,592.92