Finding the Third Proportional to 33,696 and 49,316

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 49,316 = 49,316 : x
2. Step 2: Convert to fraction form
   33,696/49,316 = 49,316/x
3. Step 3: Cross multiply
   33,696x = 49,316 × 49,316
4. Step 4: Simplify right side
   33,696x = 2,432,067,856
5. Step 5: Solve for x
   x = 2,432,067,856/33,696
6. Step 6: Final answer
   x = 72,176.75