Finding the Third Proportional to 12,681 and 19,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,681 : 19,711.50 = 19,711.50 : x
2. Step 2: Convert to fraction form
   12,681/19,711.50 = 19,711.50/x
3. Step 3: Cross multiply
   12,681x = 19,711.50 × 19,711.50
4. Step 4: Simplify right side
   12,681x = 388,543,232.25
5. Step 5: Solve for x
   x = 388,543,232.25/12,681
6. Step 6: Final answer
   x = 30,639.79