Finding the Third Proportional to 12,596.61 and 18,606.59

Step by Step Solution

1. Step 1: Write the proportion equation
   12,596.61 : 18,606.59 = 18,606.59 : x
2. Step 2: Convert to fraction form
   12,596.61/18,606.59 = 18,606.59/x
3. Step 3: Cross multiply
   12,596.61x = 18,606.59 × 18,606.59
4. Step 4: Simplify right side
   12,596.61x = 346,205,040.25
5. Step 5: Solve for x
   x = 346,205,040.25/12,596.61
6. Step 6: Final answer
   x = 27,483.99