Finding the Third Proportional to 33,696 and 72,312

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 72,312 = 72,312 : x
2. Step 2: Convert to fraction form
   33,696/72,312 = 72,312/x
3. Step 3: Cross multiply
   33,696x = 72,312 × 72,312
4. Step 4: Simplify right side
   33,696x = 5,229,025,344
5. Step 5: Solve for x
   x = 5,229,025,344/33,696
6. Step 6: Final answer
   x = 155,182.38