Finding the Third Proportional to 5,195.75 and 8,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,195.75 : 8,061.50 = 8,061.50 : x
2. Step 2: Convert to fraction form
   5,195.75/8,061.50 = 8,061.50/x
3. Step 3: Cross multiply
   5,195.75x = 8,061.50 × 8,061.50
4. Step 4: Simplify right side
   5,195.75x = 64,987,782.25
5. Step 5: Solve for x
   x = 64,987,782.25/5,195.75
6. Step 6: Final answer
   x = 12,507.87