Finding the Third Proportional to 12,596.34 and 19,661.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,596.34 : 19,661.06 = 19,661.06 : x
2. Step 2: Convert to fraction form
   12,596.34/19,661.06 = 19,661.06/x
3. Step 3: Cross multiply
   12,596.34x = 19,661.06 × 19,661.06
4. Step 4: Simplify right side
   12,596.34x = 386,557,378.63
5. Step 5: Solve for x
   x = 386,557,378.63/12,596.34
6. Step 6: Final answer
   x = 30,688.06