Finding the Third Proportional to 13,038.25 and 19,619.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,038.25 : 19,619.75 = 19,619.75 : x
2. Step 2: Convert to fraction form
   13,038.25/19,619.75 = 19,619.75/x
3. Step 3: Cross multiply
   13,038.25x = 19,619.75 × 19,619.75
4. Step 4: Simplify right side
   13,038.25x = 384,934,590.06
5. Step 5: Solve for x
   x = 384,934,590.06/13,038.25
6. Step 6: Final answer
   x = 29,523.49