Finding the Third Proportional to 6,825.75 and 14,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,825.75 : 14,812.50 = 14,812.50 : x
2. Step 2: Convert to fraction form
   6,825.75/14,812.50 = 14,812.50/x
3. Step 3: Cross multiply
   6,825.75x = 14,812.50 × 14,812.50
4. Step 4: Simplify right side
   6,825.75x = 219,410,156.25
5. Step 5: Solve for x
   x = 219,410,156.25/6,825.75
6. Step 6: Final answer
   x = 32,144.48