Finding the Third Proportional to 30,680 and 64,896

Step by Step Solution

1. Step 1: Write the proportion equation
   30,680 : 64,896 = 64,896 : x
2. Step 2: Convert to fraction form
   30,680/64,896 = 64,896/x
3. Step 3: Cross multiply
   30,680x = 64,896 × 64,896
4. Step 4: Simplify right side
   30,680x = 4,211,490,816
5. Step 5: Solve for x
   x = 4,211,490,816/30,680
6. Step 6: Final answer
   x = 137,271.54