Finding the Third Proportional to 5,077.50 and 5,412

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 5,412 = 5,412 : x
2. Step 2: Convert to fraction form
   5,077.50/5,412 = 5,412/x
3. Step 3: Cross multiply
   5,077.50x = 5,412 × 5,412
4. Step 4: Simplify right side
   5,077.50x = 29,289,744
5. Step 5: Solve for x
   x = 29,289,744/5,077.50
6. Step 6: Final answer
   x = 5,768.54