Finding the Third Proportional to 33,688 and 71,480

Step by Step Solution

1. Step 1: Write the proportion equation
   33,688 : 71,480 = 71,480 : x
2. Step 2: Convert to fraction form
   33,688/71,480 = 71,480/x
3. Step 3: Cross multiply
   33,688x = 71,480 × 71,480
4. Step 4: Simplify right side
   33,688x = 5,109,390,400
5. Step 5: Solve for x
   x = 5,109,390,400/33,688
6. Step 6: Final answer
   x = 151,667.96