Finding the Third Proportional to 5,731 and 12,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,731 : 12,152.50 = 12,152.50 : x
2. Step 2: Convert to fraction form
   5,731/12,152.50 = 12,152.50/x
3. Step 3: Cross multiply
   5,731x = 12,152.50 × 12,152.50
4. Step 4: Simplify right side
   5,731x = 147,683,256.25
5. Step 5: Solve for x
   x = 147,683,256.25/5,731
6. Step 6: Final answer
   x = 25,769.19