Finding the Third Proportional to 30,259.50 and 35,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,259.50 : 35,821.50 = 35,821.50 : x
2. Step 2: Convert to fraction form
   30,259.50/35,821.50 = 35,821.50/x
3. Step 3: Cross multiply
   30,259.50x = 35,821.50 × 35,821.50
4. Step 4: Simplify right side
   30,259.50x = 1,283,179,862.25
5. Step 5: Solve for x
   x = 1,283,179,862.25/30,259.50
6. Step 6: Final answer
   x = 42,405.85