Finding the Third Proportional to 33,093 and 64,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,093 : 64,514.25 = 64,514.25 : x
2. Step 2: Convert to fraction form
   33,093/64,514.25 = 64,514.25/x
3. Step 3: Cross multiply
   33,093x = 64,514.25 × 64,514.25
4. Step 4: Simplify right side
   33,093x = 4,162,088,453.06
5. Step 5: Solve for x
   x = 4,162,088,453.06/33,093
6. Step 6: Final answer
   x = 125,769.45