Finding the Third Proportional to 13,038.75 and 19,620.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,038.75 : 19,620.56 = 19,620.56 : x
2. Step 2: Convert to fraction form
   13,038.75/19,620.56 = 19,620.56/x
3. Step 3: Cross multiply
   13,038.75x = 19,620.56 × 19,620.56
4. Step 4: Simplify right side
   13,038.75x = 384,966,472.82
5. Step 5: Solve for x
   x = 384,966,472.82/13,038.75
6. Step 6: Final answer
   x = 29,524.80