Finding the Third Proportional to 30,314 and 64,838

Step by Step Solution

1. Step 1: Write the proportion equation
   30,314 : 64,838 = 64,838 : x
2. Step 2: Convert to fraction form
   30,314/64,838 = 64,838/x
3. Step 3: Cross multiply
   30,314x = 64,838 × 64,838
4. Step 4: Simplify right side
   30,314x = 4,203,966,244
5. Step 5: Solve for x
   x = 4,203,966,244/30,314
6. Step 6: Final answer
   x = 138,680.68