Finding the Third Proportional to 15,380.75 and 24,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,380.75 : 24,096.25 = 24,096.25 : x
2. Step 2: Convert to fraction form
   15,380.75/24,096.25 = 24,096.25/x
3. Step 3: Cross multiply
   15,380.75x = 24,096.25 × 24,096.25
4. Step 4: Simplify right side
   15,380.75x = 580,629,264.06
5. Step 5: Solve for x
   x = 580,629,264.06/15,380.75
6. Step 6: Final answer
   x = 37,750.39