Finding the Third Proportional to 18,996.75 and 41,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,996.75 : 41,638.50 = 41,638.50 : x
2. Step 2: Convert to fraction form
   18,996.75/41,638.50 = 41,638.50/x
3. Step 3: Cross multiply
   18,996.75x = 41,638.50 × 41,638.50
4. Step 4: Simplify right side
   18,996.75x = 1,733,764,682.25
5. Step 5: Solve for x
   x = 1,733,764,682.25/18,996.75
6. Step 6: Final answer
   x = 91,266.38