Finding the Third Proportional to 30,688 and 64,960

Step by Step Solution

1. Step 1: Write the proportion equation
   30,688 : 64,960 = 64,960 : x
2. Step 2: Convert to fraction form
   30,688/64,960 = 64,960/x
3. Step 3: Cross multiply
   30,688x = 64,960 × 64,960
4. Step 4: Simplify right side
   30,688x = 4,219,801,600
5. Step 5: Solve for x
   x = 4,219,801,600/30,688
6. Step 6: Final answer
   x = 137,506.57