Finding the Third Proportional to 15,770.25 and 24,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   15,770.25 : 24,414.75 = 24,414.75 : x
2. Step 2: Convert to fraction form
   15,770.25/24,414.75 = 24,414.75/x
3. Step 3: Cross multiply
   15,770.25x = 24,414.75 × 24,414.75
4. Step 4: Simplify right side
   15,770.25x = 596,080,017.56
5. Step 5: Solve for x
   x = 596,080,017.56/15,770.25
6. Step 6: Final answer
   x = 37,797.75