Finding the Third Proportional to 33,738 and 49,513

Step by Step Solution

1. Step 1: Write the proportion equation
   33,738 : 49,513 = 49,513 : x
2. Step 2: Convert to fraction form
   33,738/49,513 = 49,513/x
3. Step 3: Cross multiply
   33,738x = 49,513 × 49,513
4. Step 4: Simplify right side
   33,738x = 2,451,537,169
5. Step 5: Solve for x
   x = 2,451,537,169/33,738
6. Step 6: Final answer
   x = 72,663.97