Finding the Third Proportional to 30,241.50 and 35,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,241.50 : 35,770.50 = 35,770.50 : x
2. Step 2: Convert to fraction form
   30,241.50/35,770.50 = 35,770.50/x
3. Step 3: Cross multiply
   30,241.50x = 35,770.50 × 35,770.50
4. Step 4: Simplify right side
   30,241.50x = 1,279,528,670.25
5. Step 5: Solve for x
   x = 1,279,528,670.25/30,241.50
6. Step 6: Final answer
   x = 42,310.36