Finding the Third Proportional to 30,688 and 67,208

Step by Step Solution

1. Step 1: Write the proportion equation
   30,688 : 67,208 = 67,208 : x
2. Step 2: Convert to fraction form
   30,688/67,208 = 67,208/x
3. Step 3: Cross multiply
   30,688x = 67,208 × 67,208
4. Step 4: Simplify right side
   30,688x = 4,516,915,264
5. Step 5: Solve for x
   x = 4,516,915,264/30,688
6. Step 6: Final answer
   x = 147,188.32