Finding the Third Proportional to 2,535 and 5,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535 : 5,140.50 = 5,140.50 : x
2. Step 2: Convert to fraction form
   2,535/5,140.50 = 5,140.50/x
3. Step 3: Cross multiply
   2,535x = 5,140.50 × 5,140.50
4. Step 4: Simplify right side
   2,535x = 26,424,740.25
5. Step 5: Solve for x
   x = 26,424,740.25/2,535
6. Step 6: Final answer
   x = 10,423.96