Finding the Third Proportional to 30,608 and 64,889

Step by Step Solution

1. Step 1: Write the proportion equation
   30,608 : 64,889 = 64,889 : x
2. Step 2: Convert to fraction form
   30,608/64,889 = 64,889/x
3. Step 3: Cross multiply
   30,608x = 64,889 × 64,889
4. Step 4: Simplify right side
   30,608x = 4,210,582,321
5. Step 5: Solve for x
   x = 4,210,582,321/30,608
6. Step 6: Final answer
   x = 137,564.76