Finding the Third Proportional to 15,414 and 24,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,414 : 24,145.50 = 24,145.50 : x
2. Step 2: Convert to fraction form
   15,414/24,145.50 = 24,145.50/x
3. Step 3: Cross multiply
   15,414x = 24,145.50 × 24,145.50
4. Step 4: Simplify right side
   15,414x = 583,005,170.25
5. Step 5: Solve for x
   x = 583,005,170.25/15,414
6. Step 6: Final answer
   x = 37,823.09