Finding the Third Proportional to 13,005.56 and 19,657.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005.56 : 19,657.69 = 19,657.69 : x
2. Step 2: Convert to fraction form
   13,005.56/19,657.69 = 19,657.69/x
3. Step 3: Cross multiply
   13,005.56x = 19,657.69 × 19,657.69
4. Step 4: Simplify right side
   13,005.56x = 386,424,677.85
5. Step 5: Solve for x
   x = 386,424,677.85/13,005.56
6. Step 6: Final answer
   x = 29,712.26