Finding the Third Proportional to 30,757.50 and 40,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,757.50 : 40,386.50 = 40,386.50 : x
2. Step 2: Convert to fraction form
   30,757.50/40,386.50 = 40,386.50/x
3. Step 3: Cross multiply
   30,757.50x = 40,386.50 × 40,386.50
4. Step 4: Simplify right side
   30,757.50x = 1,631,069,382.25
5. Step 5: Solve for x
   x = 1,631,069,382.25/30,757.50
6. Step 6: Final answer
   x = 53,029.97