Finding the Third Proportional to 38,299.50 and 41,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,299.50 : 41,701.50 = 41,701.50 : x
2. Step 2: Convert to fraction form
   38,299.50/41,701.50 = 41,701.50/x
3. Step 3: Cross multiply
   38,299.50x = 41,701.50 × 41,701.50
4. Step 4: Simplify right side
   38,299.50x = 1,739,015,102.25
5. Step 5: Solve for x
   x = 1,739,015,102.25/38,299.50
6. Step 6: Final answer
   x = 45,405.69