Finding the Third Proportional to 2,592 and 6,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592 : 6,109.50 = 6,109.50 : x
2. Step 2: Convert to fraction form
   2,592/6,109.50 = 6,109.50/x
3. Step 3: Cross multiply
   2,592x = 6,109.50 × 6,109.50
4. Step 4: Simplify right side
   2,592x = 37,325,990.25
5. Step 5: Solve for x
   x = 37,325,990.25/2,592
6. Step 6: Final answer
   x = 14,400.46