Finding the Third Proportional to 30,586.50 and 40,308.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,586.50 : 40,308.75 = 40,308.75 : x
2. Step 2: Convert to fraction form
   30,586.50/40,308.75 = 40,308.75/x
3. Step 3: Cross multiply
   30,586.50x = 40,308.75 × 40,308.75
4. Step 4: Simplify right side
   30,586.50x = 1,624,795,326.56
5. Step 5: Solve for x
   x = 1,624,795,326.56/30,586.50
6. Step 6: Final answer
   x = 53,121.32