Finding the Third Proportional to 37,771.31 and 41,689.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,771.31 : 41,689.69 = 41,689.69 : x
2. Step 2: Convert to fraction form
   37,771.31/41,689.69 = 41,689.69/x
3. Step 3: Cross multiply
   37,771.31x = 41,689.69 × 41,689.69
4. Step 4: Simplify right side
   37,771.31x = 1,738,030,043.85
5. Step 5: Solve for x
   x = 1,738,030,043.85/37,771.31
6. Step 6: Final answer
   x = 46,014.55