Finding the Third Proportional to 25,536 and 38,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,536 : 38,149.50 = 38,149.50 : x
2. Step 2: Convert to fraction form
   25,536/38,149.50 = 38,149.50/x
3. Step 3: Cross multiply
   25,536x = 38,149.50 × 38,149.50
4. Step 4: Simplify right side
   25,536x = 1,455,384,350.25
5. Step 5: Solve for x
   x = 1,455,384,350.25/25,536
6. Step 6: Final answer
   x = 56,993.43