Finding the Third Proportional to 12,757.50 and 17,970.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,757.50 : 17,970.75 = 17,970.75 : x
2. Step 2: Convert to fraction form
   12,757.50/17,970.75 = 17,970.75/x
3. Step 3: Cross multiply
   12,757.50x = 17,970.75 × 17,970.75
4. Step 4: Simplify right side
   12,757.50x = 322,947,855.56
5. Step 5: Solve for x
   x = 322,947,855.56/12,757.50
6. Step 6: Final answer
   x = 25,314.35