Finding the Third Proportional to 30,415.50 and 35,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,415.50 : 35,815.50 = 35,815.50 : x
2. Step 2: Convert to fraction form
   30,415.50/35,815.50 = 35,815.50/x
3. Step 3: Cross multiply
   30,415.50x = 35,815.50 × 35,815.50
4. Step 4: Simplify right side
   30,415.50x = 1,282,750,040.25
5. Step 5: Solve for x
   x = 1,282,750,040.25/30,415.50
6. Step 6: Final answer
   x = 42,174.22