Finding the Third Proportional to 33,776 and 72,736

Step by Step Solution

1. Step 1: Write the proportion equation
   33,776 : 72,736 = 72,736 : x
2. Step 2: Convert to fraction form
   33,776/72,736 = 72,736/x
3. Step 3: Cross multiply
   33,776x = 72,736 × 72,736
4. Step 4: Simplify right side
   33,776x = 5,290,525,696
5. Step 5: Solve for x
   x = 5,290,525,696/33,776
6. Step 6: Final answer
   x = 156,635.65