Finding the Third Proportional to 30,546 and 64,710

Step by Step Solution

1. Step 1: Write the proportion equation
   30,546 : 64,710 = 64,710 : x
2. Step 2: Convert to fraction form
   30,546/64,710 = 64,710/x
3. Step 3: Cross multiply
   30,546x = 64,710 × 64,710
4. Step 4: Simplify right side
   30,546x = 4,187,384,100
5. Step 5: Solve for x
   x = 4,187,384,100/30,546
6. Step 6: Final answer
   x = 137,084.53