Finding the Third Proportional to 35,514.19 and 76,563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,514.19 : 76,563.38 = 76,563.38 : x
2. Step 2: Convert to fraction form
   35,514.19/76,563.38 = 76,563.38/x
3. Step 3: Cross multiply
   35,514.19x = 76,563.38 × 76,563.38
4. Step 4: Simplify right side
   35,514.19x = 5,861,950,391.39
5. Step 5: Solve for x
   x = 5,861,950,391.39/35,514.19
6. Step 6: Final answer
   x = 165,059.40