Finding the Third Proportional to 12,757.50 and 19,834.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,757.50 : 19,834.88 = 19,834.88 : x
2. Step 2: Convert to fraction form
   12,757.50/19,834.88 = 19,834.88/x
3. Step 3: Cross multiply
   12,757.50x = 19,834.88 × 19,834.88
4. Step 4: Simplify right side
   12,757.50x = 393,422,266.27
5. Step 5: Solve for x
   x = 393,422,266.27/12,757.50
6. Step 6: Final answer
   x = 30,838.51