Finding the Third Proportional to 33,534 and 49,514.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 49,514.63 = 49,514.63 : x
2. Step 2: Convert to fraction form
   33,534/49,514.63 = 49,514.63/x
3. Step 3: Cross multiply
   33,534x = 49,514.63 × 49,514.63
4. Step 4: Simplify right side
   33,534x = 2,451,698,088.89
5. Step 5: Solve for x
   x = 2,451,698,088.89/33,534
6. Step 6: Final answer
   x = 73,110.82