Finding the Third Proportional to 33,640 and 71,696

Step by Step Solution

1. Step 1: Write the proportion equation
   33,640 : 71,696 = 71,696 : x
2. Step 2: Convert to fraction form
   33,640/71,696 = 71,696/x
3. Step 3: Cross multiply
   33,640x = 71,696 × 71,696
4. Step 4: Simplify right side
   33,640x = 5,140,316,416
5. Step 5: Solve for x
   x = 5,140,316,416/33,640
6. Step 6: Final answer
   x = 152,803.70